1.

"^(74)C_(37)-2 is divisibl by

Answer»

`37^(2)`
`38`
`36`
none of these

Solution :`(a)` `'^(74)C_(37)-2`
`=^(37)C_(0)^(2)+^(37)C_(1)^(2)+^(37)C_(2)^(2)+....^(37)C_(37)^(2)-2`
`='^(37)C_(1)^(2)+^(37)C_(2)^(2)+....^(37)C_(36)^(2)`
is DIVISIBLE by `37^(2)`
(as each `'^(37)C_(1)`, `'^(37)C_(2)`, `'^(37)C_(3)`, ….`'^(37)C_(36)` are divisible by `37`)


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