WB JEE 2011 | Permutations and Combinations Question 9 | Mathematics

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WB JEE 2011

MCQ (Single Correct Answer)

-0.25

$${}^{15}{C_3} + {}^{15}{C_5} + \,\,......\,\, + {}^{15}{C_{15}} = $$

$${2^{14}}$$

$${2^{14}} - 15$$

$${2^{14}} + 15$$

$${2^{14}} - 1$$

WB JEE 2012

MCQ (Single Correct Answer)

-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

26² $$\times$$ 10⁴

$${}^{26}{P_2}$$ $$\times$$ $${}^{10}{P_4}$$

$${}^{26}{P_2}$$ $$\times$$ 9 $${}^{10}{P_3}$$

26² $$\times$$ 9 $$\times$$ 10³

WB JEE 2026

MCQ (Single Correct Answer)

-0.25

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

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

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

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

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

WB JEE 2026

MCQ (Single Correct Answer)

-0.25

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

284

240

270

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