The least positive integral value of x for which 10Cx−1>2 10Cx
5
8
9
6
10Cx−1>2 10Cx⇒10!(x−1)!(11−x)!>210!x!(10−x)!⇒x>2(11−x)⇒3x>22⇒x>7⇒x≥8.
Thus, least positive integral value of x is 8