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Question

The value of \(\sum^{50}_{r=0}(^{100}C_r.^{200}C_{150+r})\) is equal to

A
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B
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C
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D
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Solution

The correct option is A
100Cr.200C150+r=100Cr.100C50rThus, 50r=0100C4.200C50r=300C50

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