1.

Suppose `a_(2),a_(3),a_(4),a_(5),a_(6),a_(7)` are integers such that `5/7=(a_(2))/(2!)+(a_(3))/(3!)+(a_(4))/(4!)+(a_(5))/(5!)+(a_(6))/(6!)+(a_(7))/(7!),` where `0lea_(j)ltj"for "j=2,3,4,5,6,7.` The sum `a_(2)+a_(3)+a_(4)+a_(5)+a_(6)+a_(7)` is-A. 8B. 9C. 10D. 11

Answer» Correct Answer - B
`5xx6!=2520a_(2)+840a_(3)+210a_(4)+42a_(5)+7a_(6)+a_(7)`
`:. 3600=2520a_(2)+840a_(3)+210a_(4)+42a_(5)+7a_(6)+a_(7)`
Now`a_(j)inI{"from "2" to "7}`
soabove equation is true if
`a_(2)=a_(3)=a_(4)=1`
`a_(5)=0`
`a_(6)=4,a_(7)=2`


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