Question

if c(n 8) = c(n 5) then the value of n is

1. 8
2.5
3. 13
4. 3

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Answer 1

Given,

n

C

8

=

n

C

5

.

We have the formula for combination,

n

C

r

=

n

C

(n−r)

⟹ n−r=5, if r=8 OR

n−r=8, if r=5

⟹ n−8=5 OR n−5=8

From both the equations we get n=13.

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