111 Answered Questions for the topic Combinations And Permutations

11 different people and 11 rank places, how many distinct rank lists are possible with different rank places for every person?

11 different people and 11 rank places, how many distinct rank lists are possible with different rank places for every person?

Combinations

 The Senate in a certain state is comprised of 55 republicans, 43 democrats, and 2 independents. How many committees can be formed if each comittee must have 3 republicans and 2 democrats?

Please Help me to answer this question. Justify your answer please

A student council has five seniors, four juniors, three sophomores, and two freshmen as members. In how many ways can a four member council committee be formed that includes one member of each class?

Please show all your work out

There are 5 mathematics,4physics and 5 chemistry books. In how many ways can you arrange 4 mathematics, 3 physics and 4 chemistry books: {i}: If the books on the same subjects are arranged... more

A 5 digit number cannot repeat and is made using the digits 0 - 6. What is the probability the number is at least 30,000?

I believe this would be a permutation but I'm not sure how to do it.

Probability of winning raffle with multiple tickets (max one win each)

I have 90 tickets in a raffle.20,000 people have bought tickets.Each person has bought between between 60 and 100 tickets.The total number of tickets sold is 1,360,000 giving an average of 68... more

Combinations and Permutations

How many ways can 6 people work at 3 different offices if 2 people are in each office and 2individuals refuse to work together?

Confusing combinatorics problem

A 4x5 grid has points A and C on opposite corners of the grid. Point B is 4 units east and 1 south from point A.   If the only allowed directions are south and east, what is the number of... more

A bag of candy contains 9 peppermints and 4 butterscotch candies. What is the probability that 3 randomly drawn candies will all be butterscotch?

A bag of candy contains 9 peppermints and 4 butterscotch candies. What is the probability that 3 randomly drawn candies will all be butterscotch?

Permutations/combinations relating to sports results

Ive got this question. Theres 30 teams that are versing each other head to head; making 15 games. Given that there are only two outcomes from each game (no drawing/tie), how many possible results... more

find the number of ways to listen to 4 different CDs from a selection of 15 CDs

find the permutation of the CDs 

list of all combinations

I have an electrical combination lock on my door. The combination is on two buttons. I know the combination, meaning I know which buttons and what order to push them to get the lock to open. I push... more

How do I write the problem: How many different arrangements can I have of 2 couples? I know the answer is six. I don't know how to express.

I'm teaching myself linear algebra.  I'm trying to give myself a simple problem regarding combinations and permutations.  If I have two couples (boy/girl for illustration purposes) how can I write... more

If 6 digits ranging 0 to 9 are randomly generated, what are the odds that at least 4 of the digits are the same.

Can someone at least give me a few tips on how to work this out? I don't even know if i should treat this like a combination or permutation.

Permutations

i) How many permutations are there of the letters in the word ’REPETITION’?   (ii) How many ways can you pair up 8 boys and 8 girls?

How many different options for production teams does the manager have?

A warehouse employs 57 workers and uses production teams of 3: preparation, assembly, and quality check. How many different options for production teams does the manager have?

How many different combinations of order can a family take a photo in?

There is a family of 6. A mom, a Dad, and 4 children. In a family photo they must stand in a line without either parent standing on either end of the line. How many ways can they stand for the... more

There are 10 checkers. 7 of them are black and 3 of them are red. How many ways can they be arranged in a line?

Had this question on an exam and am wondering if I got it right. 

How many even numbers of at least four digits can be formed using the digits 0, 1, 2, 3, and 5 without repetition?

I know that the answer 84, but I just can't seem to get that number

How many combinations are possible

I'm trying to figure out the number of possible combinations that can be created in a frozen yogurt shop. There are 18 different flavors of froyo and 80 toppings. customers can get 1 or more... more

How many ways can 6 balls be put into 4 boxes?

How many ways can 6 balls be put into 4 boxes? What formula is used to solve?

4 boxes, 10 balls, none of them can be empty. how many combinations are there?

4 boxes, 10 balls, none of them can be empty. how many combinations are there? How do you find the answer?

deck of cards how many 5-card hands can be drawn

the question is regarding permutations and combinations, how many different ways I can obtain a five card hand.
1 3 4 5

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