If - - -160- n C - 8 - - -160- n C - 7- then - n-

In a binomial expression, #160;We know that #160;^n C _ r =^n C _ n r So when ^n C _ 8 = #160;^n C _ 7 Here, r = 8 and n #160; r = 7 ...

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Standard XII

Mathematics

Greatest Binomial Coefficients

If _ #...

Question

If ${^{n} C}_{8} = {^{n} C}_{7}$ , then $n =$

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Solution

In a binomial expression,
We know that $^{n} C_{r} =^{n} C_{n - r}$
So when $^{n} C_{8} =^{n} C_{7}$
Here, $r = 8$ and $n - r = 7$
$\Rightarrow n - 8 = 7 \Rightarrow n = 7 + 8$
$\Rightarrow n = 15$

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If ${^{n} C}_{8} = {^{n} C}_{7}$ , then $n =$

In a binomial expression,
We know that $^{n} C_{r} =^{n} C_{n - r}$
So when $^{n} C_{8} =^{n} C_{7}$
Here, $r = 8$ and $n - r = 7$
$\Rightarrow n - 8 = 7 \Rightarrow n = 7 + 8$
$\Rightarrow n = 15$

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If nC8=nC7, then n=

In a binomial expression, We know that nCr=nCn−rSo when nC8=nC7Here, r=8 and n−r=7⇒n−8=7⇒n=7+8 ⇒n=15

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EXAM PREPARATION

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FREE TEXTBOOK SOLUTIONS

STATE BOARDS

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If ${^{n} C}_{8} = {^{n} C}_{7}$ , then $n =$

In a binomial expression,
We know that $^{n} C_{r} =^{n} C_{n - r}$
So when $^{n} C_{8} =^{n} C_{7}$
Here, $r = 8$ and $n - r = 7$
$\Rightarrow n - 8 = 7 \Rightarrow n = 7 + 8$
$\Rightarrow n = 15$