What is the count of 4-bit binary positive integers with 2 one bits?

This is in pencil and paper range. It is time to start considering combinations and binomial numbers though.


The answer is 6.

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1 solution

( 4 2 ) = 6 \binom{4}{2}=6

Now, go try to do What is the count of 65-bit binary positive integers with 33 one bits?

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