Question

A gym coach coach must select 11 seniors to play on football teme .if he can make his selection in 12.376 ways.how many seniors are elibible to play?

Answer 1

A gym coach coach must select 11 seniors to play on football teme .if he can make his selection in 12.376 ways.how many seniors are eligible to play?

**Solution:**

So we have

$$C _ {x} ^ {1 1} = \frac {x !}{1 1 ! * (x - 1 1 !)} = 1 2 3 7 6$$ $$\frac {x !}{(x - 1 1 !)} = 1 2 3 7 6 * 1 1!$$ $$\begin{array}{l} \frac {x * (x - 1) * (x - 2) * (x - 3) * (x - 4) * (x - 5) * (x - 6) * (x - 7) * (x - 8) * (x - 9) * (x - 1 0) * (x - 1 1) !}{(x - 1 1 !)} \end{array}$$ $$\begin{array}{l} x * (x - 1) * (x - 2) * (x - 3) * (x - 4) * (x - 5) * (x - 6) * (x - 7) * (x - 8) * (x - 9) * (x - 1 0) \\ = 1 2 3 7 6 * 1 1! \\ \end{array}$$ $$x = 1 7$$

Answer:17 seniors.