1
JEE Main 2017 (Offline)
+4
-1
A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is:
A
468
B
469
C
484
D
485
2
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
If    $${{{}^{n + 2}C{}_6} \over {{}^{n - 2}{P_2}}}$$ = 11, then n satisfies the equation :
A
n2 + 3n − 108 = 0
B
n2 + 5n − 84 = 0
C
n2 + 2n − 80 = 0
D
n2 + n − 110 = 0
3
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
The sum $$\sum\limits_{r = 1}^{10} {\left( {{r^2} + 1} \right) \times \left( {r!} \right)}$$ is equal to :
A
(11)!
B
10 $$\times$$ (11!)
C
101 $$\times$$ (10!)
D
11 $$\times$$ (11!)
4
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
If the four letter words (need not be meaningful ) are to be formed using the letters from the word “MEDITERRANEAN” such that the first letter is R and the fourth letter is E, then the total number of all such words is :
A
$${{11!} \over {{{\left( {2!} \right)}^3}}}$$
B
110
C
56
D
59
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