* Probability - committee selection

[sndmails2arun]

There are 5 men and 4 women candidates for a committee of 3 which must have at least 1 woman member. In how many ways can the committee be formed?.

a. 144
b. 74
c. 112
d. 108
e. 100

Source: grequestionaday.com

[RonPurewal]

hi --
this post doesn't follow the forum rules. (the rules are posted as the first thread in every folder -- check it out.)

please fix the following within the next week or so, or else we'll have to delete the thread:

* per the forum rules, please post the full problem, with all answer choices.

* please post the original source of the problem.

thanks.

--

as far as your question is concerned, notice that your answer is exactly 1/3 of the correct answer. that should serve as a clue. (for a more specific response, please first post the problem with all the choices, as required.)

[sndmails2arun]

=> I calculated this way.
First we need a Women = 4 possibilities
Then we need to select 2 from remaining 8 = 8C2 = 28
so total = 4 x 28 = 112

but this is wrong answer.

correct answer is = total - men only = 9C3 - 5C3 = 74

Why is my answer wrong?

[RonPurewal]

We still need to see the original source of the problem. Please read the forum rules!

Thanks.