Question

Pat has 8 flowerpots, and she wants to plant a different type of flower in each one. there are 10 types of flowers available at the garden shop. in how many different ways can she choose the flowers? 80 45 1,814,400 90

Answer 1

45

Explanation:

Since the order does not matter in this situation, this is a combination.

Use the combination formula, , to find the number of combinations. Only 8 of the 10 flowers can be used to fill the 8 flowerpots. Therefore, n = 10 and r = 8.

10C8= 10!/8!(10-8)! (sub)

= 10!/8!2! (subtract)

= 3628800/(40320)(2) (evaluate)

= 3628800/80640 (multiply)

= 45 (divide)

Answer 2

10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400