The program manager for an amateur performance night auditioned 12 acts, but there is only room for 3 acts on the program. How many different ways can the program manager arrange 3 different acts from the original 12

There are 220 different ways to arrange the acts.

Step-by-step explanation:

The order in which the acts are arranged is not important, so we use the combinations formula to solve this question.

Combinations Formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many different ways can the program manager arrange 3 different acts from the original 12

Three acts from a set of 12. So

There are 220 different ways to arrange the acts.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}