There are n distinct points on the circumference of a circle. The number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles Then the value of n is

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Solution

The correct option is A 8
Since there are $n$ distinct points on a circle.
For making a pentagon if requires five points.
According to given condition,
$^{n} C_{5} =^{n} C_{3}$
$n - 3 = 5 O R n - 5 = 3$
$n = 5 + 3 = 8$

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