probability that committee has only one female member

[tsh44]

Hello, I would like some help with this problem:

A school committee is to consist of 3 teachers and 3 parents, who are to be chosen at random from the 24 teachers and 145 parents involved. If half of the teachers and 99 parents are women find the probability that the committee has only female members.

I tried (₁₂C₃ ₉₉C₃) / (₁₆₉C₆)

The answer should be 0.034, but I'm not getting that. Thanks

 

[pka]

You must realize that three have to be teachers and three parents.
\(\displaystyle \L
\frac{{\left( {\begin{array}{c}
{12} \\
3 \\
\end{array}} \right)\left( {\begin{array}{c}
{99} \\
3 \\
\end{array}} \right)}}{{\left( {\begin{array}{c}
{24} \\
3 \\
\end{array}} \right)\left( {\begin{array}{c}
{145} \\
3 \\
\end{array}} \right)}}\).