1
JEE Main 2024 (Online) 31st January Evening Shift
+4
-1

The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is

A
130
B
136
C
142
D
406
2
JEE Main 2024 (Online) 31st January Evening Shift
+4
-1

If for some $$m, n ;{ }^6 C_m+2\left({ }^6 C_{m+1}\right)+{ }^6 C_{m+2}>{ }^8 C_3$$ and $${ }^{n-1} P_3:{ }^n P_4=1: 8$$, then $${ }^n P_{m+1}+{ }^{\mathrm{n}+1} C_m$$ is equal to

A
380
B
376
C
372
D
384
3
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is equal to

A
18
B
16
C
12
D
15
4
JEE Main 2024 (Online) 27th January Evening Shift
+4
-1

Let $$\alpha=\frac{(4 !) !}{(4 !)^{3 !}}$$ and $$\beta=\frac{(5 !) !}{(5 !)^{4 !}}$$. Then :

A
$$\alpha \in \mathbf{N}$$ and $$\beta \in \mathbf{N}$$
B
$$\alpha \in \mathbf{N}$$ and $$\beta \notin \mathbf{N}$$
C
$$\alpha \notin \mathbf{N}$$ and $$\beta \in \mathbf{N}$$
D
$$\alpha \notin \mathbf{N}$$ and $$\beta \notin \mathbf{N}$$
EXAM MAP
Medical
NEET