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12 boys and 2 girls are to be seated in a row such that there are atleast 3 boys between the 2 girls. The number of ways this can be done is `lamdaxx12!`. The value of `lamda` isA. 55B. 110C. 20D. 45 |
Answer» Correct Answer - B `P_(1)`=Number of ways, the girls can sit together `=(14-2+1)xx2!xx12! =26xx12!` `P_(2)=`Number of ways, one boy sits between the girls `=(14-3+1)xx2!xx12! =24xx12!` `P_(3)`=Number of ways, two boys sit between the girls `=(14-4+1)xx2!xx12! =22xx12!` `therefore`Required number of ways`=(182-26-24-22)xx12!` `thereforelamda=110" [given]"` |
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