Column-I
Column-II
\( \mathrm{P} \)
(A) Number of irrational terms in the expansion of \( (\sqrt{2}+\sqrt{3})^{15} \) is equal to
(P) 6
(B) If \( \sum_{\mathrm{r}=1}^{\mathrm{n}}{ }^{\mathrm{n}} \mathrm{C}_{\mathrm{r}} 3^{\mathrm{r}} \) is equal to 4095 then \( n \) equals
(Q) 7
-(C) If \( { }^{n} P_{r}=\left({ }^{n-1} C_{r-1}+{ }^{n-1} C_{r}\right) \cdot 5040 \) then the value of \( r \) equals
(R) 15
(D) Number of five digit integers such that the product of their
(S) 16 digits is 2000 is \( 2 \mathrm{~K} \) then \( \mathrm{K} \) equals
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