Question

if c (n , 3)=2c (n, 4)then no is ​

Answer 1

c (n, 3) =2c (n, 4)

=> n, 3 = 2 (n, 4)

=> n, 3 = 2n, 8

=> 2n- n =3-8

=> n = -5

Answer 2

Answer:

If c (n , 3)=2c (n, 4)then n = 5

Step-by-step explanation:

If c (n , 3)=2c (n, 4)then no is

ⁿC₃ = 2ⁿC₄

ⁿCₓ = n!/((x!)(n-x)!)

ⁿC₃ = n!/((3!)(n-3)!)

ⁿC₄ = n!/((4!)(n-4)!)

n!/((3!)(n-3)!) = 2 × n!/((4!)(n-4)!)

4! = 4 * 3!

(n-3)! = (n-3)(n-4)!

n!/((3!)(n-3)(n-4)!)  = 2 × n!/(4(3!)(n-4)!)

=> 1/(n-3) = 2 × 1/4

=> 1/(n-3) = 1/2

=> 2 = n-3

=> n = 5