InterviewSolution
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InterviewSolution
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In how many ways can 3 prizes be distributed among 4 girls, when (i) no girl gets more than one prize? (ii) a girl may get any number of prizes? (iii) no girl gets all the prizes? |
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Answer» Correct Answer - (i) 24 (ii) 64 (iii) 60 (i) The 1st prize can be given to anyone of the 4 girls in 4 ways. Similarly, the second prize can be given in 3 ways and the 3rd prize can be given in 2 ways. `therefore " the required number of ways"=(4xx3xx2)=24.` (ii) 1st prize can be given in 4 ways, 2nd prize can be given in 4 ways and the 3rd prize can be given in 4 ways. `therefore " the required number of ways"=(4xx4xx4)=64.` (iii) Number of ways in which a girl does not get all the prizes = (number of ways in which a girl may get any number of prizes) - (number of ways in which a girl gets all the prizes) `=(64-4)=60.` |
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