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. Out of 7 gents and 4 ladies a committee of 5 is to be formed. The number of committees such that each committee includes at least one lady is (a) 400 (b) 440 (c) 441 (d) none of these?
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. Out of 7 gents and 4 ladies a committee of 5 is to be formed. The nu...
Solution:

Number of ways to form a committee of 5 members out of 11 members = 11C5 = 462

Number of ways to form a committee of 5 members out of 7 gents = 7C5 = 21

Number of ways to form a committee of 5 members with no restrictions = 11C5 = 462

Number of ways to form a committee of 5 members with at least one lady = Total number of ways - Number of ways with no ladies

= 462 - number of ways to form a committee of 5 members with all gents

= 462 - 21

= 441

Therefore, the number of committees such that each committee includes at least one lady is 441.

Hence, the answer is (c) 441.
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. Out of 7 gents and 4 ladies a committee of 5 is to be formed. The number of committees such that each committee includes at least one lady is (a) 400 (b) 440 (c) 441 (d) none of these?
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. Out of 7 gents and 4 ladies a committee of 5 is to be formed. The number of committees such that each committee includes at least one lady is (a) 400 (b) 440 (c) 441 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about . Out of 7 gents and 4 ladies a committee of 5 is to be formed. The number of committees such that each committee includes at least one lady is (a) 400 (b) 440 (c) 441 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . Out of 7 gents and 4 ladies a committee of 5 is to be formed. The number of committees such that each committee includes at least one lady is (a) 400 (b) 440 (c) 441 (d) none of these?.
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