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Sum of Infinite Terms of a GP

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Question

There are $5$ novels and $4$ biographies. In how many ways can $4$ novels and $2$ biographies be arranged on a shelf?

A

28800

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B

27408

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C

21600

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D

24560

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Solution

The correct option is B $21600$
There are $5$ novels and $4$ biographies . We have to select $4$ novels and $2$ biographies.
Number of ways $=^{5} C_{4} \times^{4} C_{2} \times 6! = 21600$

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