Question
If $^{n+2} C_{8}:^{n-2} P_{4}=57: 16$, find the values of $n .$
Step 1
We will use the fact that $^{n}C_{r} = \frac{n!}{r!(n-r)!}$ and $^{n}P_{r} = \frac{n!}{(n-r)!}$. So this is nothing but $\frac{(n+2)!}{8!(n-6)!}$ divided by $\frac{(n-2)!}{(n-6)!}$. Show more…
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EXPONENTIAL FUNCTIONS
Laws of Exponents
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