Question

From a group of 5 candidates, a committee of 2 people is selected. In how many different ways can the committee be selected?

From a group of 5 candidates, a committee of 2 people is selected. In how many different ways can the committee be selected?

Answer 1

There are 10 different ways to select a committee of 2 people from a group of 5 candidates.

Step-by-step explanation:

To calculate the number of ways to select a committee of 2 people from a group of 5 candidates, we can use the combination formula. The number of combinations of n items taken r at a time is given by the formula:

nCr = n! / (r!(n-r)!)

Here, n is the total number of candidates (5) and r is the number of people to be selected for the committee (2). Plugging in the values, we get:

5C2 = 5! / (2!(5-2)!)

Simplifying this expression:

5C2 = (5 * 4) / (2 * 1)

Therefore, there are 10 different ways to select the committee.

Answer 2

25 different combinations.
there are 5 candidates and only 3 may be selected in order to find the amount just multiply.