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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- CSIR NET
- Mathematical Sciences
11. we are given a class consisting of 4 boys and4 girls. a committee that consists of a president, a vice - president and a secretary is to be chosen among the
11. We are given a class consisting of 4 boys and4 girls. A committee that consists of a President, a Vice - President and a Secretary is to be chosen among the 8 students of the class. Let a' denote the number of ways of choosing the committee in such a way that the committee has at least one boy and at least one girl. Let b denote the number of ways of choosing the committee in such a way that the number of girls is greater than or equal to that of the boys. Then (CSIR UGC NET JUNE-2014) 1. a=288 3 a-144 2. b=168 4. b-192
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Satyam Singh
in how many ways you can arrange a boy and 2 girls
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Satyam Singh
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the value for a is 288 ways and for b the value is 168 so b option is correct I answered the question in most simpler way hope it will help you
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why 3! is require here we dont have anywhere mentioned that position of persons are to be c siderwd
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considered*
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eg. we have 2 boys and 1 girl so lebel boys B1,B2 and girls as G
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now B1B2G, B1GB2, GB1B2, B2B1G, B2GB1, GB2B1 so these are the 6 possiblities so we multiplied it by 3! hope it's clear now
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Satyam Singh
in how many ways you can arrange a boy and 2 girls say boy B and girls G1 and G2