1
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
$${{2017!} \over {17!2000!}}$$
2
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together?
A
3600
B
1800
C
1080
D
900
3
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
What is the number of ways in which an examiner can assign 10 marks to 4 questions, giving not less than 2 marks to any question?
A
4
B
6
C
10
D
16
4
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The digit in the unit's place of the number 1! + 2! + 3! + .... + 99! is
A
3
B
0
C
1
D
7
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