Question

- If "C, = "C,, find "C,​

Answer 1

Answer:

45

Step-by-step explanation:

nC8 = nC2

n! / [(n-8)! 8! ]= n! / [ ( n-2)! 2! ]

(n-8)! 8! = ( n-2)! 2!

8! (n-8)! = 2! (n-2)(n-3)(n-4)(n-5)(n-6)(n-7)(n-8)!

(n-2)(n-3)(n-4)(n-5)(n-6)(n-7) = 8! / 2!

(n-2)(n-3)(n-4)(n-5)(n-6)(n-7) = 8 × 7 × 6 × 5 × 4 × 3

hence...n -2 = 8 or n - 3 = 7 or so n.....

mean....n = 2 + 8 = 10

now....nC2 = 10C2 = 10 × 9 / 2 × 1

nC2 =45