WB JEE 2024 | Binomial Theorem Question 16 | Mathematics

PREVIOUS NEXT

WB JEE 2024

MCQ (Single Correct Answer)

-0.25

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

140

150

120

160

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

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

WB JEE 2021

MCQ (Single Correct Answer)

-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

$${{2016!} \over {17!1999!}}$$

$${{2016!} \over {16!}}$$

$${{2017!} \over {2000!}}$$

$${{2017!} \over {17!2000!}}$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.5

The coefficient of a³b⁴c⁵ in the expansion of (bc + ca + ab)⁶ is

$${{12!} \over {3!4!5!}}$$

$${{6!} \over {3!}}$$

$$3\,.\,\left( {{{6!} \over {3!3!}}} \right)$$

PREVIOUS NEXT

WB JEE Subjects