Q.
The sum of the series S=119!+13!17!+15!15!+………to10 terms is equal to
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a
21920!
b
22020!
c
21020!
d
21919!
answer is A.
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Detailed Solution
We have,S=119!+13!17!+15!15!+……… to 10 terms S=120!20!1!19!+20!3!17!+20!5!15!+……….t∘10 terms S=120! 20C1+20C3+20C5+………+20C19S=120!220−1=21920!
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