Ray makes an array that has 4 rows of 4 counters. He wants to make 2 more arrays using the same numbers of counter. Than he wants to move 1. What 2 arrays can he use
To solve this problem, let's break it down step by step:
Step 1: Ray has an array with 4 rows and 4 counters in each row.
Array 1:
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
Step 2: Ray wants to make two more arrays using the same number of counters.
To do this, he can either copy the existing array (Array 1) or redistribute the counters in a different way.
Array 2 (Copy of Array 1):
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
Array 3 (Redistribution of counters):
1 1 0 0
0 0 1 1
0 1 0 1
1 0 1 0
Step 3: Ray wants to move 1 counter to a different array.
Since Ray wants to move only 1 counter, we need to select two arrays that have at least one empty space.
In this case, Array 2 and Array 3 have empty spaces.
Therefore, Ray can move 1 counter from Array 2 to Array 3 or vice versa.
For example:
Array 2 (Before moving): Array 2 (After moving):
1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 0
1 1 1 1 (Move a counter here) 1 1 1 1
1 1 1 1 1 1 1 1
Array 3 (Before moving): Array 3 (After moving):
1 1 0 0 1 1 0 1
0 0 1 1 0 1 1 1
0 1 0 1 (Move a counter here) 0 1 0 1
1 0 1 0 1 0 1 0
So, Ray can use Array 2 and Array 3 to move one counter.