Question

A bag contains 7 apples and 5 oranges. If you select 6 pieces of fruit without looking, how many ways can you get 6 apples?A. 12B. 10C. 0D. 7

Answer 1

D. 7

Step-by-step explanation:

The number of ways to select x objects from a group of n can be calculated using combinations as

`nCx=(n!)/(x!(n-x)!)`

There are 7 apples in the bag and we want to select 6. Then, we can calculate the number of ways as

`7C6=(7!)/(6!(7-6)!)=(7!)/(6!\cdot1!)=(7\cdot6!)/(6!)=7`

Therefore, the answer is

D. 7