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\[\Large \color{purple}{\rightarrow {7 * 6 * 5 * 4 * 3 * 2 * 1 \over 4 * 3^2 * 2^2 * 1 } }\]

no need to expand... just use 7! = 7*6*5*4! and cancel out the 4!

Cancel the terms that exist in both numerator and denominator.

I was explaining it in the most basic way.

35

Yup :)