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Question

If 11!9!+13!7!+15!5!+17!3!+19!1!=2n10!
Then n=

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Solution

Given,

11!9!+13!7!+15!5!+17!3!+19!1!=2n10!

10!1!9!+10!3!7!+10!5!5!+10!7!3!+10!9!1!=2n

201!+14403!+10!5!5!=2n

201!+14403!+302405!=2n

201+14406+30240120=2n

2400+28800+30240120=2n

512=2n

29=2n

n=9

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