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Question

Data Interpretation Question on Data Sufficiency

The question below has two statements, I and Impark your answer as
Find 25C10-
1. 24C14 = a
II. 24C9 = b

A

Question can be answered by using any one statement alone, but not by using other statement alone.

B

Question can be answered by using either of the statements alone.

C

Question can be answered by using both the statements together, but it cannot be answered by using either of the statements alone.

D

Question cannot be answered even by using both the statements together.

Answer

Question can be answered by using either of the statements alone.

Explanation

Solution

The Formula = (nr)=r!(nr)!n!\binom{n}{r} = \frac{r!(n - r)!}{n!}
By using Pascal's Identity
= (nr)=(n1r)+(n1r1)\binom{n}{r} = \binom{n-1}{r} + \binom{n-1}{r-1}
The correct option is (B)