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A committee is to consist of two members. If there are five men and six women available to serve on the committee, how many different committees can be formed?

A. 10000
B. 110
C. 66
D. 30
E. 55


Sagot :

Final answer:

There are 10 different committees that can be formed with two members out of five men and six women.


Explanation:

To determine the number of different committees that can be formed with two members chosen from five men and six women, we use the combination formula. The number of ways to choose 2 members out of 5 men is C(5,2) or 10 ways, and the number of ways to choose 0 members out of 6 women is C(6,0) or 1 way. Multiplying these two combinations together gives the total number of different committees, which is 10 * 1 = 10.


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