Permutations, Combinations & Probability (14 Word Problems)

youre the GOAT 🐐🐐

Can't thank you enough. I can finally get some traction in my Stats course.

Life saver

You opened my eyes, thank you sir!

THANK YOU SO MUCH 😭😭😭🩷🩷🩷🩷

Nice explanation. You have made me understand this topic better

Hi Mr. Mario, For the "Cat" word problem, why is it that we do 3 combination 3 to find the number of ways to choose the letters: C, A, T, rather than doing 3 permutation 3 as the order matters. ----> since the letters must be arranged in a order in which it spells "cat"?

This is the one basic math subject that I never understand.

Seven delegates are to address a meeting. If a particular
speaker is to speak before another particular speaker, find the
number of ways in which this can be arranged.

I have an interesting exercise, where I cannot seem to find the answer: We have 30 balls and 15 red, 10 green, 5 blue. Now the question would be: We choose 6 from those 30 balls and at least 3 of them have to be green. How many combinations are there?
Can we reduce this to the basic nCr problem or is it a combination of nPr and nCr? Or is it just 10 chose 3 * 20 choose 3? So: 10! / ((10-3)!*3!) * 20!/((20-3)*3!) because we can abstract to green and non-green?

Wait ? 8x7x8 is 336 ?

For the last question why didn't you divide by 10C4 bc u are choosing 4 from the 10

5th Q should be 1/120 not 1/20. Great video!

I'm glad that I watched this before the exam.

For #10, should the answer actually be 20,159? Since it says to form a new word, you'd subtract the word geometry from the total possibilities.

without using a calculator, can question 5 be simplified using the factorial method were we cancel out like terms? I got a different answer when i used that method.

saved me in my math test

I didn't get the last one

Mr mario was watching your videos yesterday and just to let you know youre better than my private tutor. ive grapsed the concept a bit but im still struggling. hope you can help me more

For #13 I'm realizing you "could" also add in the number of ways, 359° degrees before it's the same orientation of the circle XD

Thank you for your video. I have a question.
For no.5, I solved it as typical counting, and I got different answers. Can you explain where did I do wrong?
(Not Replacing) 1/6*1/6*1/6=1/216
(Replacing) 1/6*1/5*1/4=1/120

For #8 wouldn't it be 13C5/52C13? Because you need the chance of diamonds not a smaller 5 set?

Cheers for this descriptive lesson, I learnt SOOO much!!!!

Thank you

Fantastic

Hello,Teacher..In no.5, we have to find "CAT" and I just think this is matter for order but I was wrong.Can you explain me why you use Combination in this problem 3C3/6C3..Thank you✨

Hi borj jerson

For Q4, I think it should say "form a team" rather than "form teams" for clarity.

Yo just totally saved my life!!!

Excellent video, thank you. The examples really helped clarify the different formulas and the practice was useful.

You r my superhero
Thank you so much!!!

perfectly done ..............

Thank you so much sir! I love your teaching style, it made everything really clear and easy to understand.Please keep doing what you're doing!

Thank you so much sir. I was stuck in this chapter for a month. After watching your lesson, I escape.

i don't usually comment but this video is just gold

Seven students are in a mathematics class which includes Bram and Yasmin. They will be split into two groups, A and B, where group A will have 3 students and group B will have 4 students. what is the probability that Bram and Yasmin are in the same group
help T_T

this one is the hardest in basic math I just can not understand but memorize the ways to solve and I believe even the ones who made questions can not solve other new quizzes cause I never seen someone on YT can explain them clearly

That is a repetitive Variation and not repetitive combination formula! the right formula is N!/(R1!*R2!*...*Rn!) where Rn is the element that is repeated by Rn times, N is the total number of elements and n is the index of the element that is repeating.

Thank you so much for this video, I find your video is the easiest way to understand because a lot of example is given :) Keep up the good work! I like the way you teach!

Please work this question : under 30 years 90 BA and 10 MA degrees , and 30 _40 years 20 BA and 30 MA degree , over 40 years 40 BA and 10 MA degree finally random is one. What is the probability of only a BA degree.

thanks johnny sin for teaching me this incrediblle sunject.

In how many ways can a committee of six people be selected from six sets of twins of opposite sex if
(a) everyone is qualified to be in the committee
(b) the committee should have at least a man.

Seriously the best video!!! 😎👏

Hello Mr how can i contact you? I have examples that i want to send them as a pic thx

The wording in number 10 is a little tricky, but if you are asking for a NEW word, then the answer would be 20,160 -1 = 20,159

THE MOZ