Counting Multiple Events

Eric has 6 shirts and 5 ties. How many shirt-and-tie outfits can he make?

Tags

CCSS.3.OA.A.3

Kellen has 8 different colored shirts and 8 ties that have the same colors as the shirts. How many shirt-and-tie outfits can he make if he refuses to wear a shirt and tie with the same color?

How many license plates consist of 2 letters followed by 3 digits? (you can use a calculator for this one)

How many license plates consist of 3 letters, followed by 2 even digits, followed by 2 odd digits?

In how many ways can I stack 5 different books on a shelf?

Suppose that I have 6 different book, 2 of which are math books. In how many ways can I stack my 6 books on a shelf if I want a math book on both ends of the stack?

There are 8 sprinters in the olympic 100-meter finals. The gold medal goes to first place, silver to second and bronze to third. In how many ways can the medals be awarded?

My club has 15 members. In how many ways can we choose a president, vice president, secretary, and treasurer, if no member can hold more than one office?

Compute without a calculator: 9!/8!

42!/40!