1
WB JEE 2026
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The number of 3-digit numbers we of the form $x y z$ with $x< y, z< y$ and $x \neq 0$ is

A

284

B

240

C

44

D

270

2
WB JEE 2026
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Suppose $A$ is denoted the set of all numbers between 1 and 700 which are divisible by 3 and let $B$ is denoted the set of all numbers between 1 and 300 which are divisible by 7 . If $C=\{(a, b) \mid a \in A, b \in B, a \neq b$ and $a+b=$ even number $\}$, then order of C is

A

4879

B

4789

C

6789

D

9876

3
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If ${ }^9 P_5+5 \cdot{ }^9 P_4={ }^{10} P_r$, then the value of '$r$' is

A
4
B
8
C
5
D
7
4
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The value of the expression ${ }^{47} C_4+\sum\limits_{j=1}^5{ }^{52-j} C_3$ is

A
${ }^{52} C_3$
B
${ }^{51} C_4$
C
${ }^{52} C_4$
D
${ }^{51} C_3$

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