Question

A bag contains seven apples and five oranges if you select six pieces of fruit without looking how many ways can you get six apples

Answer 1

To determine the number of ways you can select six apples from a bag containing seven apples and five oranges, we can use the concept of combinations.

The number of ways to choose six apples out of seven is given by the combination formula:

C(n, r) = n! / (r!(n-r)!)

where n is the total number of apples, r is the number of apples we want to choose, and ! denotes factorial.

Plugging in the values, we have:

C(7, 6) = 7! / (6!(7-6)!)
= 7! / (6!1!)
= 7 / 1
= 7

Therefore, there are 7 ways to select six apples from the bag.