Question 892927
a committee of 3 is to be formed from a group consisting of 5 men and 2 ladies. 
find the probability that(1) the committee does not include any lady
<pre>
That's the probability of selecting 3 men from the 5.

The number of ways to select 3 men is

5 men Choose 3 or 5C3 or C(5,3) = 10 ways

The number of ways to select ANY 3 from the 7 humans is 

7 humans Choose 3 or 7C3 or C(7,3) = 35 ways

That's 10 ways out 35 ways or {{{10/35}}} which reduces to {{{2/7}}}.

--------------
</pre>
 (2)the committee includes both the ladies.
<pre>

We only need to choose 1 of the 5 men to go with the two ladies.

That's 5 ways out of 35 ways or {{{5/35}}} which reduces to {{{1/7}}}.

Edwin</pre>