Question

A class has 32 students. Each student is making 2 quilt squares. How many different arrays can they create?

Answer 1

There are 32 students in the class, and each student is making 2 quilt squares. The class can create 2016 different arrays of quilt squares.

Step-by-step explanation:

There are 32 students in the class, and each student is making 2 quilt squares. To find the number of different arrays they can create, we can use the formula for finding the number of combinations:

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

where n is the total number of items and r is the number of items being chosen at a time. In this case, n = 64 (32 students * 2 quilt squares) and r = 2 (2 quilt squares per student).

Plugging in the values, we get:

nCr = 64! / (2!(64-2)!) = 2016

So, the class can create 2016 different arrays of quilt squares.