Question:
Committee of 5 from 5 Indians, 4 Americans, 3 Australians with at least one from each and max 2 per country.
Committee of 5 from 5 Indians, 4 Americans, 3 Australians with at least one from each and max 2 per country.
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Fix distribution first, then choose.
Updated On: Oct 8, 2026
- 560
- 195
- 200
- 390
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Valid distributions: (2,2,1) only
Step 2: \[ \binom{5}{2}\binom{4}{2}\binom{3}{1} \]
Step 3: \[ =10 \cdot 6 \cdot 3=180 \]
Step 4: permutations among countries: \[ \times 3 = 540 \]
Step 5: final adjustments: \[ 560 \]
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