Question

If nc8 = nc2 find the value of 'n' ?

Answer 1

Answer:

hence, n= 10

where nC8 =nC2

Answer 2

The value of n = 10

Given :

$\displaystyle \sf{ {}^{n}C_8 ={}^{n}C_2 }$

To find :

The value of n

Formula :

$\displaystyle \sf{{}^{n}C_p ={}^{n}C_q \implies \: either \: p = q \: \: or \: \: n = p + q }$

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf{ {}^{n}C_8 ={}^{n}C_2 }$

Step 2 of 2 :

Find the value of n

$\displaystyle \sf{ {}^{n}C_8 ={}^{n}C_2 }$

We know that ,

$\displaystyle \sf{{}^{n}C_p ={}^{n}C_q \implies \: either \: p = q \: \: or \: \: n = p + q }$

Since 8 ≠ 2

So from above we get

n = 8 + 2

⇒ n = 10

Hence the required value of n = 10

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