Answer
54,600
Work Step by Step
We must select equal number of men and women i.e., three of the 10 men and three of the 15 women.
This can be done in
$$(^{10}C_3)({^{15}C_3}) = 54,600 $$ways.
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
Published by
McGraw-Hill Education
ISBN 10:
0073383090
ISBN 13:
978-0-07338-309-5
Chapter 6 - Section 6.3 - Permutations and Combinations - Exercises - Page 414: 33
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