SOLUTION: Eight men and six women are to line up for a picture with the eight men in the middle. How many ways can this be done? (Assume there are three women on each side of the group of me

Number the people from 1 to 14

1  2  3  4  5  6  7  8  9 10 11 12 13 14 
W  W  W  M  M  M  M  M  M  M  M  W  W  W

Choose person  1 as any of 6 women.
Choose person  2 as any of the 5 remaining women.
Choose person  3 as any of the 4 remaining women.
Choose person  4 as any of the 8 men.
Choose person  5 as any of the 7 remaining men.
Choose person  6 as any of the 6 remaining men.
Choose person  7 as any of the 5 remaining men.
Choose person  8 as any of the 4 remaining men.
Choose person  9 as any of the 3 remaining men.
Choose person 10 as either of the 2 remaining men.
Choose person 11 as the 1 remaining man.
Choose person 12 as any of the 3 remaining women.
Choose person 13 as either of the 2 remaining women.
Choose person 14 as the 1 remaining woman.



Edwin