The number of different ways in which a committee of 4 members formed out of 6 Asians, 3 Europeans and 4 Americans if the committee is to have at least one member from each of the regional groups, is
A
320
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B
340
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C
360
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D
380
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Solution
The correct option is C360 Asians(6)Europeans(3)Americans(4)112121211
Required number =6C1×3C1×4C2+6C1×3C2×4C1+6C2×3C1×4C1 =108+72+180 =360