The number of solutions of the inequatio...

The number of solutions of the inequation `""^(10)C_(x-1)gt3.""^(10)C_(x)` is

A

0

B

1

C

2

D

9

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The correct Answer is:

C

`""^(10)C_(x-1)gt.""^(10)C_(x)rArr1/(11-x)gt3/xrArr4xgt33rArrxge9,` but `xle10`.
So x=9,10 Hence there are two solutions

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