1
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
Change Language

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

A
$$(n+1) 2^n$$
B
$$3^{\mathrm{n}}$$
C
$$f^{\prime}(2)$$ where $$f(x)=x^{n+1}$$
D
$$(\mathrm{n}+1) 2^{\mathrm{n}+1}$$
2
WB JEE 2021
MCQ (More than One Correct Answer)
+2
-0
Change Language
The remainder when $${7^{{7^{{7^{{{..}^7}}}}}}}$$ (22 time 7) is divided by 48 is
A
21
B
7
C
47
D
1
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