CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A committee of 12 members is to be formed from 9 women and 8 men. In how many ways can this be done, if at least five women have to be included in a committee?


Solution

There are 9 women and 8 men. A committee of 12 members, consisting of at least 5 women can be formed by choosing, 

5 women and 7 men;                       6 women and 6 men;

7 women and 5 men;                       8 women and 4 men;

9 women and 3 men;                                               

Total number of ways of forming the committee

=9C5×8C7+9C6+9C7×8C5+9C8×8C4+9C9×8C3                            

= 126×8+84×28+36×56+9×70+1×56

= 1008+2352+2016+630+56=6062                                        

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image