Question

At the downtown office of First National Bank, there are three tellers. Last week, the tellers made the following numbers of errors: 4, 8, 3, 6, and 5. How many different samples of three tellers are possible?

a) 10
b) 15
c) 20
d) 30

Answer 1

At the downtown office of First National Bank, there are three tellers, there are 10 different samples of three tellers possible from a group of five tellers. The correct answer is a) 10

Step-by-step explanation:

To find the number of different samples of three tellers possible, we need to use the concept of combinations.

Since there are three tellers and we need to select three of them, we can use the formula for combinations:

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

where

n is the total number of tellers

r is the number of tellers we want to select.

In this case, n = 5 (as there are five tellers) and r = 3. Plugging these values into the formula, we get:

nCr = 5! / (3!(5-3)!) = 5! / (3!2!) = (5 x 4 x 3 x 2 x 1) / ((3 x 2 x 1)(2 x 1)) = (5 x 4) / (2 x 1) = 20 / 2 = 10

Therefore, there are 10 different samples of three tellers possible. The correct answer is a) 10