Question 1013048
.
as a medical officer, you are required to select five persons from a group of 7 men and 6 women, to form a committee so that at least 3 men are there on the committee. in how many ways can it be done?
-----------------------------------------------------------------


<pre>
{{{C[7]^1}}} + {{{C[7]^2}}} + {{{C[7]^3}}}  = 7 + {{{(7*6)/2}}} + {{{(7*6*5)/(1*2*3)}}} = 7 + 21 + 35 = 63 ways.


Symbol {{{C[n]^m}}} is the number of combinations of n objects taken m at a time.

See the lesson <A HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A> in this site.
</pre>