# Choose, choose, choose...

Number Theory Level pending

$m! = \dbinom{64}{32}\times\dbinom{32}{16}^2 \times \binom{16}{8}^4 \times\dbinom{8}{4}^8\times\dbinom{4}{2}^{16}\times\dbinom{2}{1}^{32}$

Find the value of $$m$$ satisfying the equation above.

Clarification: The notation $$\binom{x}{y}$$ indicates "x choose y" or the binomial coefficient indexed by x and y.

×