1
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then the value of m is :
A
12
B
9
C
7
D
11
2
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
Consider three boxes, each containing, 10 balls labelled 1, 2, … , 10. Suppose one ball is randomly drawn from each of the boxes. Denote by ni, the label of the ball drawn from the ith box, (i = 1, 2, 3). Then, the number of ways in which the balls can be chosen such that n1 < n2 < n3 is :
A
164
B
240
C
82
D
120
3
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
If  $$\sum\limits_{r = 0}^{25} {\left\{ {{}^{50}{C_r}.{}^{50 - r}{C_{25 - r}}} \right\} = K\left( {^{50}{C_{25}}} \right)} ,\,\,$$ then K is equal to -
A
224
B
225$$-$$ 1
C
225
D
(25)2
4
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in the set S is :
A
9
B
18
C
36
D
32
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