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Q.
Column I Column II
A ${ }^{24} C _2+{ }^{23} C _2+{ }^{22} C _2+{ }^{21} C _2+{ }^{20} C _2+{ }^{20} C _3$ is equal to p 102
B In the adjoining figure number of progressive ways to reach from $(0,0)$ to $(4,4)$ passing through point $(2,2)$ are (particle can move on horizontal or vertical line)
image
q 2300
C The number of 4 digit numbers that can be made with the digits $1,2,3,4,3,2$ r 82
D If $\left\{\frac{500 !}{14^{ k }}\right\}=0$, then the maximum natural value of $k$ is equal to (where $\{$.$\}$ is fractional part function) s 36

Permutations and Combinations

Solution:

Correct answer is (c) $( A ) \rightarrow( q ),( B ) \rightarrow( s ),( C ) \rightarrow( p ),( D ) \rightarrow( r )$