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Pascal Triangle

If n +1 C 3=2...

Question

If $^{n + 1} C_{3} = 2^{n} C_{2}$ , then the value of $n$ is

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Solution

Given
$^{n + 1} C_{3} = 2^{n} C_{2} \Rightarrow \frac{^{n + 1} C_{3}}{^{n} C_{2}} = 2 \Rightarrow \frac{n + 1}{3} = 2 \Rightarrow n + 1 = 6 ∴ n = 5$

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Pascal Triangle

Standard XII Mathematics

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