1
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The coefficient of $$a^{10} b^7 c^3$$ in the expansion of $$(b c+c a+a b)^{10}$$ is

A
140
B
150
C
120
D
160
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The number of zeros at the end of $$\left| \!{\underline {\, {100} \,}} \right. $$ is

A
21
B
22
C
23
D
24
3
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
$${{2017!} \over {17!2000!}}$$
4
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
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
$$3\,.\,\left( {{{6!} \over {3!3!}}} \right)$$
WB JEE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12