How many different committees can be formed of 10 professionals, each containing at least 4 Professors, at least 3 General Managers and 3 Finance Advisors from list of 10 Professors, 12 General Managers and 5 Finance Advisors?
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Solution:-
The 10 member committee of professionals can be either of the following:-
at least 4 Professors, at least 3 General Managers and at least 3 Finance Advisors.
Total number of ways = 10c₄ × 12c₃ × 5c₃
(10×9×8×7)/(4×3×2×1) × (12×11×10)/(3×2×1) × (5×4×3)/(3×2×1)
(5040/24) × (1320/6) × (60/6)
210 × 220 × 10
Total number of ways = 462000
Answer
The 10 member committee of professionals can be either of the following:-
at least 4 Professors, at least 3 General Managers and at least 3 Finance Advisors.
Total number of ways = 10c₄ × 12c₃ × 5c₃
(10×9×8×7)/(4×3×2×1) × (12×11×10)/(3×2×1) × (5×4×3)/(3×2×1)
(5040/24) × (1320/6) × (60/6)
210 × 220 × 10
Total number of ways = 462000
Answer
sumanto96170949:
Thanks
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