1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The sum of the coefficients of all the terms in the expansion is
A
22n $$-$$ 1
B
4n $$-$$ 1
C
2 $$\times$$ 4n
D
None of these
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The coefficient of x99 in the expansion of (x $$-$$ 1) (x $$-$$ 2) (x $$-$$ 3) ...... (x $$-$$ 100) is
A
5050
B
5000
C
$$-$$ 5050
D
$$-$$ 5000
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $${}^{47}{C_4} + {}^{51}{C_3} + \sum\limits_{j = 2}^5 {{}^{52 - j}{C_3}} $$ equal to?
A
$${}^{52}{C_4}$$
B
$${}^{51}{C_5}$$
C
$${}^{53}{C_4}$$
D
$${}^{52}{C_5}$$
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The number of terms in the expansion of (x + a)100 + (x $$-$$ a)100 after simplification is
A
202
B
101
C
51
D
50
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