Q. What is the value of $^{n} C_{0}$ ?

35031 163 Permutations and Combinations Report Error

A

0

24%

B

$\infty$

9%

C

1

61%

D

none of these

5%

Solution:

$^{n} C_{0} = \frac{n !}{0 ! ( n - 0 ) !} = \frac{n !}{0 ! n !} = \frac{n !}{n !} = 1$