Solve the problem.
-In an experiment on the sugar content of fruit, a researcher gathers a sample of 6 apples, 2 bananas, and 5 peaches. In how many ways can 3 pieces of fruit be randomly selected from this sample?
A) 3
B) 1716
C) 286
D) 39

Question

Quizplus · Accepted Answer

The total number of ways to select 3 pieces of fruit from the 13 pieces (6 apples + 2 bananas + 5 peaches) is calculated using the combination formula $C(n, k) = \frac{n!}{k!(n-k)!}$, where $n$ is the total number of items, $k$ is the number of items to choose, and $n!$ denotes the factorial of $n$. Thus, the calculation is $C(13, 3) = \frac{13!}{3!(13-3)!} = \frac{13 \times 12 \times 11}{3 \times 2 \times 1} = 286$.

Solve the Problem. -In an Experiment on the Sugar Content of Fruit, a of Fruit