Originally Posted by

**Chez_** Hi, could you help me with these please, thank you

A commitee of 4 is to be selected from 10 condidates, 6 men and 4 woman.

* how many distinct ways can the committee be chosen? Mr F says: $\displaystyle {\color{red} {10 \choose 4}}$.

* Assuming that each candiadate is equally likely to be selected, determine the possibilitis that the chosen committee contains

1) no woman Mr F says: The number of distinct ways such a committee can be chosen is $\displaystyle {\color{red} {6 \choose 4} \times {4 \choose 0} = .......}$ Therefore the probability is ......

2)2 men and 2 woman. Mr F says: The number of distinct ways such a committee can be chosen is $\displaystyle {\color{red} {6 \choose 2} \times {4 \choose 2} = .......}$ Therefore the probability is ......

[snip]