1
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
2
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
3
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digits allowed) is equal to :
A
374
B
372
C
375
D
250
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be the members of the same team, is :
A
500
B
350
C
200
D
300
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