Question

1. Margie has 64 rectangular steppingstones

to arrange in an array in her backyard.

A. How many arrays can Margie make

with the 64 steppingstones? List all

the possible arrays

1. quangkhai
Using permutations we know that Margie can make 5 arrays using 64 steppingstones which are:
(A) 64 * 1 = 64
(B) 34 * 2 = 64
(C) 16 * 4 = 64
(D) 8 * 8 = 64
(E) 64 * 1 = 64

### What are permutations?

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order.
The act or procedure of altering the linear order of an ordered set is referred to as a “permutation.”
So, we know that:
Margie has 64 rectangular stepping stones.
A number of arrays she can make with 64 steppingstones:
64 * 1 = 64
34 * 2 = 64
16 * 4 = 64
8 * 8 = 64
64 * 1 = 64
Therefore, using permutations we know that Margie can make 5 arrays using 64 steppingstones which are:
(A) 64 * 1 = 64
(B) 34 * 2 = 64
(C) 16 * 4 = 64
(D) 8 * 8 = 64
(E) 64 * 1 = 64