Question 1127579
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a.  Factor the "(n-1)!" out of the numerator and simplify:<br>
{{{(n+2)!/((n+1)(n-1)!) = ((n+2)(n+1)(n)(n-1)!)/((n+1)(n-1)!) = n(n+2)}}}<br>
b.  Factor the 7! out of the numerator and simplify:<br>
{{{10!/((4!)(7!)) = ((10)(9)(8)(7!))/((4!)(7!)) = 720/24 = 30}}}