We have to evaluate the expression 6 C3
Solution
To evaluate the expression 6 C3 we use the following formula
nCr =n! / r! (n – r)!
n = 6
r = 3
Substitute n and r values in above formula
nCr =n! / r! (n – r)!
6C3= 6! / 3! (6-3)!
6C3= 10! / 3! (3)!
Find the factorial for 6! & 3!, substitute the corresponding values in the below expression and simplify.
= 6x 5 X 4 X 3 X 2 X 1 / ( 3×2 X 1) ( 3 X 2 X 1)
=20
Answer
6C3= 20