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In order to gain access to a private web site, each person must have his or her own

Chapter 9, Problem 2

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QUESTION:

In order to gain access to a private web site, each person must have his or her own 6-digit password, where some digit is used 3 times and the remaining 3 digits are distinct. How many such passwords are there?

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QUESTION:

In order to gain access to a private web site, each person must have his or her own 6-digit password, where some digit is used 3 times and the remaining 3 digits are distinct. How many such passwords are there?

ANSWER:

Step 1 of 2

Consider the binomial theorem,

For every nonnegative integer n. In this equationrepresents (r+1)th term

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