# Math Help - Probability

1. ## Probability

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?
* Assuming that each candiadate is equally likely to be selected, determine the possibilitis that the chosen committee contains 1) no woman 2)2 men and 2 woman.

Also A factory advertises for 4 emplyees.8 men and 5 woman aply.
1) how many different selections of employees are possible from these applicants.
2) How many of these selections included no men?

Thank you!!

2. 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: ${\color{red} {10 \choose 4}}$.

* 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 ${\color{red} {6 \choose 4} \times {4 \choose 0} = .......}$ 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 ${\color{red} {6 \choose 2} \times {4 \choose 2} = .......}$ Therefore the probability is ......

[snip]
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