- #1

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## Main Question or Discussion Point

Problem Statement:

How many 5 digit number can be formed from the integers 1,2, ..., 9 if no digit can appear more than twice?

Approach:

18!/((2!*9)(18-5)!)

Reason:

Using the combination formula, we were able to approach this problem by saying that there are 18 numbers from which only 5 are chosen and the order does not matter for individual groups of two numbers.

Is this approach correct? I would love a very detailed explanation of this problem since many of the ones in class are about this same difficulty level.

How many 5 digit number can be formed from the integers 1,2, ..., 9 if no digit can appear more than twice?

Approach:

18!/((2!*9)(18-5)!)

Reason:

Using the combination formula, we were able to approach this problem by saying that there are 18 numbers from which only 5 are chosen and the order does not matter for individual groups of two numbers.

Is this approach correct? I would love a very detailed explanation of this problem since many of the ones in class are about this same difficulty level.