How many different ways can a committee of 5 men and 6 women be created from 8 men and 10 women?
A. 266
B. 5040
C. 11760
D. 86400
Answer:C
How many different ways can a committee of 5 men and 6 women be created from 8 men and 10 women?
A. 266 B. 5040 C. 11760 D. 86400
Explanation: 8 x 7 x 6 x 10 x 9 x 8 x 7 3 x 2 x 1 4 x 3 x 2 x 1 = 11760 = (8C5 x 10C6) = (8C3 x 10C4) = 8 x 7 x 6 x 10 x 9 x 8 x 7 3 x 2 x 1 4 x 3 x 2 x 1=11760