1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
For x$$\in$$R, x $$\ne$$ $$-$$1, if $${(1 + x)^{2016}} + x{(1 + x)^{2015}} + {x^2}{(1 + x)^{2014}} + ..... + {x^{2016}} = \sum\limits_{i = 0}^{2016} {{a_i}\,.\,{x^i}}$$, then a17 is equal to
A
$${{2016!} \over {17!1999!}}$$
B
$${{2016!} \over {16!}}$$
C
$${{2017!} \over {2000!}}$$
D
$${{2017!} \over {17!2000!}}$$
2
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
The coefficient of a3b4c5 in the expansion of (bc + ca + ab)6 is
A
$${{12!} \over {3!4!5!}}$$
B
$${{6!} \over {3!}}$$
C
33
D
$$3\,.\,\left( {{{6!} \over {3!3!}}} \right)$$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
If c0, c1, c2, ......, c15 are the binomial coefficients in the expansion

of (1 + x)15, then the value of $${{{c_1}} \over {{c_0}}} + 2{{{c_2}} \over {{c_1}}} + 3{{{c_3}} \over {{c_2}}} + ... + 15{{{c_{15}}} \over {{c_{14}}}}$$ is
A
1240
B
120
C
124
D
140
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
The number of irrational terms in the expansion of $${\left( {{3^{{1 \over 8}}} + {5^{{1 \over 4}}}} \right)^{84}}$$ is
A
73
B
74
C
75
D
76
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