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If `""^(m)C_(r)=0" for "rgtm` then the sum `sum_(r=0)^(m)""^(18)C_(r)""^(20)C_(m-r)` is maximum when m =A. 20B. 19C. 10D. 10 |
Answer» We have, `sum_(r=0)^(m)""(18)C_(r)""^(20)xxC_(m-r)` = Number of ways of choosing m persons out of 18 men and 20 women `=""^(38)C_(m)` Clearly, it is maximum when m =19. |
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