Binary combinations of N bits with at most M "1" -

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the total number of binary combinations of n bits : 2^n.

what formula number of possible binary combinations of n bits following constraint: have @ m "1" in each combination (m < n).

thank you!

the total number binary combination m "1" combinatorial c(n,m), think formula 

c(n,m) + c(n,m-1) + ... + c(n,1) + 1

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