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 2025

MCQ (Single Correct Answer)

-0.25

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

WB JEE 2025

MCQ (Single Correct Answer)

-0.25

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

${ }^{52} C_3$

${ }^{51} C_4$

${ }^{52} C_4$

${ }^{51} C_3$

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