1
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1

The number of ways to distribute 30 identical candies among four children C1, C2, C3 and C4 so that C2 receives at least 4 and at most 7 candies, C3 receives at least 2 and at most 6 candies, is equal to:

A
205
B
615
C
510
D
430
2
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1

The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is

A
36
B
48
C
60
D
72
3
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Let P1, P2, ......, P15 be 15 points on a circle. The number of distinct triangles formed by points Pi, Pj, Pk such that i +j + k $$\ne$$ 15, is :
A
12
B
419
C
443
D
455
4
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
If $${}^n{P_r} = {}^n{P_{r + 1}}$$ and $${}^n{C_r} = {}^n{C_{r - 1}}$$, then the value of r is equal to :
A
1
B
4
C
2
D
3
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