Permutations, Combinations, and Probability (15 Word Problems)

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In this video lesson we go through what a permutation and a combination are and how to use them to calculate probabilities in 15 word problems. We discuss the formulas for nPr and nCr as well as n! We also discuss binomial probability in one of the problems as well as probability problems involving a standard deck of cards.
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Опубликовано:

19 авг 2023

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Комментарии : 99

@sukesheducation 11 месяцев назад

U wouldn't know how perfectly times this is, I have a test on permu's tmrw and wasn't bothered to do work so ended up procrastinating and finding Ur videos, keep up the great work dude. 👍

@MariosMathTutoring 11 месяцев назад

Glad I could help!

@SpeedMinxer 16 дней назад

Crazy

@ensunnlor7059 11 месяцев назад

I graduated 1982 with EET degree. I try to help my daughter, she is taking Algebra II. At senior age remembering math is little difficult. I watch your video several time and pausing to understand it. Thanks.

@MariosMathTutoring 11 месяцев назад

You’re welcome!

@187vikassingh5 3 месяца назад

How sweet you are.😊.it show your affection towards your daughter ❤

@MM-gh4zl 9 месяцев назад

Thank you for explaining these concepts in a simple and straightforward manner.

@MariosMathTutoring 9 месяцев назад

You're very welcome!

@jhena3__ 7 месяцев назад

You just made college way more easier and now I'm ready for finals. Thank youuu

@MariosMathTutoring 7 месяцев назад

I'm so glad!

@ferozeinas9203 11 месяцев назад

Thank you, so much. ❤i wasn't able to understand some questions in statistics for economics. These basic solutions give me ideas on how to solve them. love it.

@MariosMathTutoring 11 месяцев назад

Glad to hear that!

@user-wx1pt1cc1n 5 месяцев назад

Mario rocks!!! 👏🥳

@sammymaestro7642 7 месяцев назад

Bless you for this. Wish you only good things in life ❤

@KT-dv8qy 9 месяцев назад

Thanks a lot sir!

@hassanmohamed-iz2un 8 месяцев назад

Thank you you made me happy. The first time after many days I understand this topic. You made it simple and straightforward

@MariosMathTutoring 8 месяцев назад

Glad to hear that!

@lijneja9459 7 месяцев назад

Thank you so much 😊

@salmanel-farsi3744 10 месяцев назад

A fanstastic collection of probabilty questions which span several concepts. Q14. Ironically combination lock means order does not matter. They should really call them permutation locks.

@loden5677 6 месяцев назад

Im trying to self study probability theory and really struggling with perms and combs probability questions. This video helped so much, thank you!!!

@MariosMathTutoring 5 месяцев назад

Glad it was helpful!

@user-vd3qy9se1j 5 месяцев назад

Wish me luck on the ACT Mario! I appreciate the help

@AfiyaJahinMukto 11 месяцев назад

Your video is so helpful. It helps me lot. Thank you and keep it up. ❤❤❤😊

@MariosMathTutoring 11 месяцев назад

Glad to hear that!

@jayden7194 7 месяцев назад

wow... great choice of problems for this video! I feel like you chose ones that are good to use for ACT prep. thanks

@MariosMathTutoring 7 месяцев назад

Thanks Jayden! Glad you liked my choice of problems! Good luck on the ACT!

@vivekpradhan291 8 месяцев назад

Your teaching is amazing.

@MariosMathTutoring 8 месяцев назад

Glad you think so!

@user-hk2cc4ot1w 5 месяцев назад

Best video ❤

@tai627 8 месяцев назад

Really helped, by the way. Keep it up.

@MariosMathTutoring 8 месяцев назад

Thanks, will do!

@mariofp6982 10 месяцев назад

Thank you for your videos, they have been a great help. Do you have any videos on birthday probability problems?

@MariosMathTutoring 10 месяцев назад

Not yet!

@danialdahi825 3 месяца назад

i had always problem in this subject(probability)but now after long time im now understanding it thanks man your amazing teacher!

@MariosMathTutoring 3 месяца назад

You are most welcome

@dontedonefn1568 8 месяцев назад

tysm u saved my life

@LorenaCaroline 11 месяцев назад

Love your videos. Could you do some more ACT math videos? There is one in September and October. Thanks.

@MariosMathTutoring 11 месяцев назад

Have you seen my ACT video course playlist on RU-vid? I’ll see if I can film another ACT review sometime soon…

@jaineilsart1528 7 месяцев назад

The part with the cards is one of the hardest because i dont play that game since it's really for grownups. I keep messing up since i dont understand the fundamentals of the game. But i still understood some of the materials so thank you.

@chinelo9217 11 месяцев назад

very helpful , i would recommend it to anymore.

@MariosMathTutoring 11 месяцев назад

Great to hear!

@AbhishekDeswal-cy9sg 8 месяцев назад

If you are my university I will get 100/100 because you are a good teacher some teacher have knowledge but no teaching skills🙏🙏

@MariosMathTutoring 8 месяцев назад

Thanks for your positive comment!

@exclusivedots 5 месяцев назад

Amazing tips Mario! In number 2, what would the answer be if ties were possible?

@ZoeZ.U. Месяц назад

Im wondering the same thing

@molinyang9679 Месяц назад

Sir, you are better than all my math professors at college at clearly explaining math concepts and showing how the formulas work

@MariosMathTutoring 29 дней назад

Glad to hear my videos are helping you!

@stephenessel9216 13 дней назад

Professors and Teachers actually teach based on the length of time assigned to them and materials they try to give students at a short period of time makes students feel they aren't good

@shivamkedar1451 7 месяцев назад

thank you so much

@MariosMathTutoring 7 месяцев назад

You’re welcome!

@nodigitalfootprinthere 6 месяцев назад

u r the goat

@yanaalniyazi7567 4 месяца назад

Amazing teacher!

@MariosMathTutoring 4 месяца назад

Thank you! 😃

@aisauleshamil9919 5 месяцев назад

thank you so muchhhh

@MariosMathTutoring 5 месяцев назад

You're welcome!

@francisc909 4 месяца назад

excellent video thanks for sharing

@MariosMathTutoring 4 месяца назад

Glad you enjoyed it

@aeinthmuuthwe4695 4 месяца назад

thank you very much

@MariosMathTutoring 4 месяца назад

You are welcome!

@soeunjeon5392 2 месяца назад

Thank you so much Mario! I just have one question: why do we subtract 1 before we calculate?(number 8, salade bar question), every question that contains 2 possibilities (yes or no), do we need to solve in the same way like you did? (2^n - 1)

@desmondle4073 Месяц назад

@2:31 that made my day 😂😂

@raphaelgomes2947 Месяц назад

Fantastic video

@MariosMathTutoring Месяц назад

Thanks! 😃

@strawbarble 8 месяцев назад

Hello, thank your for your video! For #3, why is it that we cannot use the fundamental counting principle and thus calculate it as 15 x 14 = 210?

@ChocoBear365 Месяц назад

You could do that if it was done by Permutation , but in this question the order doesn't matter so we use companiation

@nebiyusamuel6545 11 месяцев назад

pls video in sets

@ZoeZ.U. Месяц назад

For a question like number 7 do we always assume that the numbers can repeat?

@matteoromanelli7616 5 месяцев назад

Have you done any examples where you are looking for when 2 objects are next to each other. Ex: there are 12 balls in total, 6 are red. What is the probability of not having the 2 balls next tot each other

@shivamkushwaha7757 4 месяца назад

Nice work

@MariosMathTutoring 4 месяца назад

Thank you! Cheers!

@crafted7285 2 месяца назад

This guys awesome

@MariosMathTutoring 2 месяца назад

Thanks!

@naveensingh5787 2 месяца назад

why HT and TH are considered two different outcomes eventhough they are same

@exclusivedots 5 месяцев назад

In problem 5, what would have been the answer for (at least 1 Ace) ?

@ZoeZ.U. Месяц назад

Idk for sure. But i think you could do total possibilities minus no aces. So 52C5 - 48C5 = 886 656. Let me now if this is correct

@kaileeeddy 3 месяца назад

my math exam is tomorrow and im binge watching these videos. u might get me through university! hahahaha

@MariosMathTutoring 3 месяца назад

You got this!

@Molly-jr6jy 10 месяцев назад

For question 14, why the answer is not 1/10^4 ? We have 0-9, 10 10 numbers, to choose for 4 digits.

@AliceKMay 9 месяцев назад

This question is a bit confusing but it said we're trying to figure out the order which means we remembered the digits but NOT the order. So ORDER for 4 digits that's 4!. We have that with one chance= 1/ 24. If we're trying to find out the digits, we need to choose from 10 out of 1.

@exclusivedots 5 месяцев назад

Another question for you Mario. Why can't we solve question 10 like we did with 9? So (7C4 * 3C1) / 10C5 ? Since there are 10 tries, 7 successes and 3 failures. But this gives 41.7% which is not our answer. But why though?

@zia8040 6 месяцев назад

well one i didn't find anywhere else is when there are repeating letters in a word .... the questions is......: 3 letters are to be chosen from the word BIOLOGY. Find the number of ways that it can be done if it contains both of the 'O's .

@cuz-baby-ur-my-whirld 9 месяцев назад

40:17 Can someone please explain why it's 4P4 and not 10P4 please? Isn't it possible to have 0-9 digits for the 5 digit lock? If I need to fill in 4 spaces, but I have 10 number options, why is it not 10P4? Thanks in advance!!🙏

@FailedAbortion6969 7 месяцев назад

You know what the digits are you just forgot the order that they're in.

@fayesaturinas7386 4 месяца назад

I was thinking about this too. Cause there are 10 possible digits which are 0-9. Assuming that you know the middle digit, using fundamental counting principle, it should be 9•8•1•7•6 = 3024. And one chance of getting it correct would be 1/3024.

@emptyname3716 2 месяца назад

Is there shortcut for the calculation

@IWASGOOD 2 месяца назад

Sadly, no

@kerontifso 4 месяца назад

saitama!, is that you?

@sukesheducation 11 месяцев назад

First

@herolivesnu 9 месяцев назад

I think the answer for question number 7 is wrong. It should be 5*7*6*5. We have 8 choices( excluding 0 and 1) . The 8 digits are 2, 3, 4, 5, 6, 7, 8, 9. To have number less than 7000, the first digit must be either 2 or 3 or 4 or 5 or 6. So for the first digit we have 5 choices. For the second digit, we have 7 choices( from the initial eight choices, one digit has been taken for the first digit of the 4-digit number that we want to form). For the 3rd digit , we now have 6 digits to choose from( out of the 8 digits, we have used 2 digits for the first and second digits of the 4- digit number). For the forth digit, we are only left with 5 choices using FCP. We have a total of 5*7*6*5 chouces = 1050 choices.

@MariosMathTutoring 9 месяцев назад

Thanks for commenting…however I think you may have misread or misunderstood the question. It is a 4 digit number with no 0’s and no 1’s. The digits can be repeated. For a number less than 7000 the first digit has to be a 2,3,4,5, or 6 which is 5 choices. The second digit has to be 2-9 since we are excluding 0 and 1 which is 8 choices …same for the 3rd and 4th digits. So 5x8x8x8 should yield the number of possibilities. I hope that helps clarify for you and other viewers.

@herolivesnu 9 месяцев назад

Actually the question was not adequately "worded". From the concept or introductions of permutation, we assumed no repetition, so if there should be repetition of digits of digits, that condition must be added. What I solved is correct based on "repetition of digits is Not allowed". What you solved is also correct if "repetition of digits is allowed". But your question didn't specify that repetition is allowed. Anytime permutation is introduced or explain at the beginning of a lesson, the assumption has always been "repetition is Not allowed".

@ZoeZ.U. Месяц назад

I also did it with no repetition allowed so i was a bit confused at first