Math Help - Probability

1. Probability

Not sure if this is precalc but its at the end of my trig book anyways:

I get : $\frac {_7 C_4 * _5C_3 *_1_0 C_1}{_2_2 C_8}$ $\Rightarrow$ $\frac {35*10*10}{58198140}$

Which does not equal the book answer of $\frac {350}{31977}$
What is my error?

2. Re: Probability

Originally Posted by Greymalkin
Not sure if this is precalc but its at the end of my trig book anyways:

I get : $\frac {_7 C_4 * _5C_3 *_1_0 C_1}{_2_2 C_8}$ $\Rightarrow$ $\frac {35*10*10}{58198140}$
Which does not equal the book answer of $\frac {350}{31977}$
What is my error?
$\binom{7}{4}\binom{5}{3}\binom{10}{1}=3500$

$\binom{22}{8}=319770$.

So the book is correct.