1
WB JEE 2012
MCQ (Single Correct Answer)
+1
-0.33
A vehicle registration number consists of 2 letters of English alphabet followed by 4 digits, where the first digit is not zero. Then, the total number of vehicles with distinct registration numbers is
A
262 $$\times$$ 104
B
$${}^{26}{P_2}$$ $$\times$$ $${}^{10}{P_4}$$
C
$${}^{26}{P_2}$$ $$\times$$ 9 $${}^{10}{P_3}$$
D
262 $$\times$$ 9 $$\times$$ 103
2
WB JEE 2026
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let 10 Bags $B_1, B_2, \ldots, B_{10}$ which contains $21,22, \ldots, 30$ different articles respectively. Then the total number of ways to bring out 10 articles from a Bag is

A

${ }^{31} \mathrm{C}_{20}+{ }^{21} \mathrm{C}_{10}$

B

${ }^{31} \mathrm{C}_{20}-{ }^{21} \mathrm{C}_{10}$

C

${ }^{30} \mathrm{C}_{20}-{ }^{20} \mathrm{C}_{10}$

D

${ }^{30} \mathrm{C}_{20}+{ }^{20} \mathrm{C}_{10}$

3
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

4
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

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