Question

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The ratio of the number of combinations (2n+2) of different objects taken n at a time to the number of combinations of (2n-2) of different objects taken n at a time is 99:7. Find the value of n.​

Answer 1

The expected value of n is 1.152

The question states that ratio of 2n+2 and 2n-2 = 99:7. This means that

2n+2:2n-2 = 99:7, this also means that

$\frac{2n+2}{2n-2}$ = $\frac{99}{7}$

If that is so, we can cross multiply so that

99 * (2n - 2) = 7 * (2n + 2), on expanding the bracket, we have

198n - 198 = 14n + 14

198n - 14n = 14 + 198

184n = 212, dividing both sides by 184, we have

n = 212/184

n = 1.152

Therefore, the value of n is 1.152

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