Question

An executive needs to select 16 stores from a total of 18 to participate in a customer service program. Determine the number of possible groups of 16 stores. There are ___ ways to select 16 stores.

Answer 1

There are 153 ways to select 16 stores from a total of 18.

Step-by-step explanation:

To determine the number of possible groups of 16 stores that can be selected, we can use the formula for combinations. The formula for combinations is nCk = n! / (k!(n-k)!), where n is the total number of stores and k is the number of stores to be selected. In this case, n = 18 and k = 16. Plugging in these values into the formula, we get:

18C16 = 18! / (16!(18-16)!) = (18 * 17 * 16!) / (16! * 2!) = 18 * 17 / 2 = 153.

Therefore, there are 153 ways to select 16 stores from a total of 18.