Question

From a collection of 50 store customers, 2 are to be chosen to receive a special gift. How manygroups of 2 customers are possible?

Answer 1

There are 1,225 possible groups of 2 customers that can be chosen from a collection of 50 store customers.

Step-by-step explanation:

The number of possible groups of 2 customers that can be chosen from a collection of 50 store customers can be calculated using the combination formula:

C(50, 2) = 50! / (2! * (50-2)!) = 50 * 49 / 2 * 1 = 1,225

Therefore, there are 1,225 possible groups of 2 customers that can be chosen.

Answer 2

From a collection of 50 store customers, 2 are to be chosen to receive a special gift.

How many groups of 2 customers are possible?

This is a combination problem since the order of selection doesn't matter.

Recall that the combination formula is given by

`{{{n\choose r}}}=(n!)/(r!(n-r)!)`

Where n is the total number of subjects and r is the number of subjects to be choosen from n.

For the given case,

n = 50

r = 2