A committee is to consist of four members.if there are seven men and six woman available to serve on the committee , how many different committees can be formed
We can use the combination formula to determine the number of different committees that can be formed:
n C r = n! / (r! * (n - r)!)
Where n is the total number of available people and r is the number of people needed for the committee.
In this case, n = 13 (7 men + 6 women) and r = 4 (the number of members needed for the committee).
Thus, the number of different committees that can be formed is:
13 C 4 = 13! / (4! * (13 - 4)!) = 715
Therefore, there are 715 different committees that can be formed from the available men and women.