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A team of 11 members is to be formed from 8 males and 5 females. If A is the number of ways the committee must have at least 6 males and B is the number of ways the committee must have at least 3 females then;1. A = B2. A = 2B3. A = 4B4. 2A = B5. 4A = B |
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Answer» Correct Answer - Option 1 : A = B GIVEN: Team members = 11 Male = 8 Female = 5 CALCULATION: Case: A Males = At Least 6 (6, 7, 8) Females = (3, 4, 5) Possible ways = 8C8 x 5C3 + 8C7 x 5C4 + 8C6 x 5C5 Possible ways = A = 78 Case: B Females = At Least 3 (3, 4, 5) Males = (6, 7, 8) Possible ways = 8C8 x 5C3 + 8C7 x 5C4 + 8C6 x 5C5 Possible ways = B = 78 A = B |
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