WB JEE 2024 | Binomial Theorem Question 17 | Mathematics

WB JEE 2024

MCQ (More than One Correct Answer)

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If $$n$$ is a positive integer, the value of $$(2 n+1){ }^n C_0+(2 n-1){ }^n C_1+(2 n-3){ }^n C_2 +\ldots .+1 \cdot{ }^n C_n$$ is

$$(n+1) 2^n$$

$$3^{\mathrm{n}}$$

$$f^{\prime}(2)$$ where $$f(x)=x^{n+1}$$

$$(\mathrm{n}+1) 2^{\mathrm{n}+1}$$

WB JEE 2021

MCQ (More than One Correct Answer)

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The remainder when $${7^{{7^{{7^{{{..}^7}}}}}}}$$ (22 time 7) is divided by 48 is

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