SOLUTION: A certain company has 30 female employees including 3 in the management ranks and 150 male employees, including 12 in the management ranks. A committee consisting of 3 women and 3

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Question 909729: A certain company has 30 female employees including 3 in the management ranks and 150 male employees, including 12 in the management ranks. A committee consisting of 3 women and 3 men is to be chosen. How many ways are there to choose the committee if it has to include at least 1 person of management rank of each gender.
Answer by Lenzky(18) About Me  (Show Source):
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30 Females; 3 in the Management Rank
150 Males; 12 in the Management Rank
{(30C2x3C1)+(30C1x3C2)+(3C3)} x {(150C2x12C1)+(150C1x12C2)+(12C3)+?
(1305+90+1) x (134100+9900+220)=?
1396 x 144220 = 201331120