Binomial Coefficient Solve for n Where $_{20} C_{n+2} = _{20} C_{ 2n-1} $

76 Views Asked by At

Trying to find the value of n.

$$_{20} C_{n+2} = _{20} C_{ 2n-1} $$

or

$$\mathrm{C}^{20}_{n+2} = \mathrm{C}^{20}_{2n-1}$$

1

There are 1 best solutions below

10
On

Hint: $_{20}C_{20} = _{20}C_{0}$.

Second hint: $_{20}C_{5} = _{20}C_{15}$.

Can you take it from here?