InterviewSolution
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InterviewSolution
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Statement-1: The expression `""^(40)C_(r)xx""^(60)C_(0)+""^(40)C_(r-1)xx""^(60)C_(1)+""^(40)C_(r-2)xx""^(60)C_(2)+....` attains its maximum volue when r = 50 Statement-2: `""^(2n)C_(r)` is maximum when r=n.A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True. |
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Answer» We know that when n is even `""^(n)C_(r)` is maximum for r=n. Therefore, `""^(2n)C_(r)` is maximum when r=n. So, statement-2 is true. Now, `""^(40)C_(r)xx""^(60)C_(0)+""^(40)C_(r-1)xx""^(60)C_(1)+""^(40)C_(r-2)xx""^(60)C_(2)+....` = Number of ways selecting r objects from a group of 40 objects of one kind adn 60 objects of other kind `=""^(100)C_(r)` This is maximum when r=50. So, statement-1 is also true. Clearly, statement-2 is a coorect explanation for statement-1. |
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