Chapter 0.4, Problem 9E

To determine

To find: Evaluate the combination $C_1^6=6$

Answer to Problem 9E

  $C_1^6=6$

Explanation of Solution

Given information: $C_1^6$

Formula used: $C_r^n=\frac{n!}{(n-r)!r!}$

Calculation:

Plug in the values of n and r into the formula.

  $C_1^6=\frac{6!}{(6-1)!1!}$

Simplify the right side,

  $=\frac{6!}{5!1!}$

  $=\frac{6*5!}{5!1!}$

  $=6$

Hence $C_1^6=6$