Question

nc1 = 360 then the value of n

Answer 1

nC1=n. {formula}

therefore n=360

Answer 2

The value of n is 360.

Step-by-step explanation:

Given : The expression $^nC_1=360$.

To find : The value of n ?

Solution :

Applying combination formula, $^nC_r=\frac{n!}{r!(n-r)!}$

Here, n=n and r=1,

$^nC_1=\frac{n!}{1!(n-1)!}$

Substitute the value,

$\frac{n!}{1!(n-1)!}=360$

$\frac{n(n-1)!}{(n-1)!}=360$

$n=360$

Therefore, the value of n is 360.

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