High School

What is the number of possible ways to get 3 successes out of 5 trials?

A. 5
B. 10
C. 15
D. 20

Answer :

Final answer:

The number of possible ways to get 3 successes out of 5 trials is 10. The correct option is B

Explanation:

To find the number of possible ways to get 3 successes out of 5 trials, we can use the combination formula. The formula for combination is:

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

In this case, n = 5 (total number of trials) and k = 3 (number of successes).

Plugging in the values, we get:

C(5, 3) = 5! / (3!(5-3)!)

= 5! / (3!2!)

= (5 * 4 * 3 * 2 * 1) / ((3 * 2 * 1) * (2 * 1))

= 10

So, the number of possible ways to get 3 successes out of 5 trials is 10.