PLZ help Alice, Bob, and Carrie can all choose a number from 1 to 10 (inclusive) Find the number of ways they can choose their numbers, if all three numbers are different.

Question

asked Oct 20, 2021 54.9k views

1 Answer

Yekaterina · Answer 1 · 2021-10-26T13:11:49+0000

Answer: 720 ways

Explanation:

We have a total of 10 numbers and 3 selections:

When Alice chooses, she has 10 possible numbers to choose.

When Bob chooses, he has 9 possible numbers to choose (because one has already ben selected)

When Carrie chooses, she has 8 possible numbers to choose (because two numbers had already been selected)

The number of combinations is equal to the product of the number of options for each selection:

C = 10*9*8 = 90*8 = 720