orangemouse216

Herman has a list of his mother’s 15 favorite songs. In how many ways can he download 7 of these songs? The order of the songs does not matter.

Using the digits 0, 2, 3, 7, 8, 9, how many 4-digit numbers can be formed when repetition is not allowed (digits cannot be repeated)?

There are eight children to be lined up in a straight line for a photograph. How many different ways are possible if two of the children, Herman and Sherman, insist on standing beside each other?

There are 6 women and 5 men interviewing for 4 cashier positions at Walmart. In how many ways can the positions be filled if 2 men and 2 women are hired?

How many different ways can you arrange the letters in the word OGOPOGO?

What is the difference between a permutation and a combination? Use an example to explain.

a) How many different five-card hands can be dealt from an ordinary deck of 52 cards?

b) How many of these hands have at least two aces? 3