How do you simplify the factorial expression $(4!)/(6!)$ ?

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Answer 1 · 2017-03-08T09:28:58

$1/(6xx5)=1/30$

We can expand factorials into their constituent multiplication series:

$(4xx3xx2xx1)/(6xx5xx4xx3xx2xx1)$

We can then cancel out the $4, 3, 2, and 1$ in both denominator and numerator and we're left with

$1/(6xx5)=1/30$

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We could also express our initial problem as:

$(4!)/(6xx5xx4!)$ , cancel out the $4!$ terms, and be left with $1/30$

How do you simplify the factorial expression (4!)/(6!)(4!)/(6!)?