How many decimal numbers 0-4095 can be converted into a binary number that has exactly 2 '1s'?
2026-04-01 02:53:19.1775011999
How many numbers from 0-4095 can be represented with 2 binary digits?
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Hint. Note that $4095=2^{12}-1$, therefore the integers in the interval $[0,4095]$ are precisely the ones that can be represented by using 12-digits binary numbers. Now among the 12 digits you have to choose 2 digits where to place the ones. In how many ways this choice can be done?