1
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

$$\sum_\limits{\substack{i, j=0 \\ i \neq j}}^n{ }^n C_i{ }^n C_j$$ is equal to

A
$$2^{2 n}-{ }^{2 n} C_n$$
B
$$2^{2 n-1}-{ }^{2 n-1} C_{n-1}$$
C
$$2^{2 n}-\frac{1}{2}\left({ }^{2 n} C_n\right)$$
D
$$2^{n-1}+2\left({ }^{2 n-1} C_n\right)$$
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

The number of terms in the expansion of $${(1 + 5\sqrt {2x} )^9} + {(1 - 5\sqrt {2x} )^9}$$ is

A
5
B
7
C
9
D
10
3
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

If the sum of the coefficients in the expansion of (x + y)n is 1024, then the value of the greatest coefficient in the expansion is

A
356
B
252
C
210
D
120
4
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

$${{{C_1}} \over {{C_0}}} + 2{{{C_2}} \over {{C_1}}} + 3{{{C_3}} \over {{C_2}}} + 4{{{C_4}} \over {{C_3}}} + ....20{{{C_{20}}} \over {{C_{19}}}} = $$

A
120
B
260
C
210
D
180
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