Counting numbers are to be formed using only the digits

2,

5,

and

6.

Determine the number of different possibilities for the type of number described below.

Four-digit numbers with one pair of adjacent

5s

and no other repeated digits (Hint: You may want to split the task of designing such a number into three parts, such as (1) position the pair of

5s,

(2) position the

2,

and (3) position the

6.)

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Part 1

The number of different possibilities for this type of number is

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