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## Permutations and Combinations

### Mathematics

#### Previous Years Questions

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There are n white and n black balls marked 1, 2, 3, ...... n. The number of ways in which we can arrange these balls in ...
WB JEE 2022
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 ...
WB JEE 2021
Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each ...
WB JEE 2021
If the total number of m-element subsets of the set A = {a1, a2, ..., an} is k times the number of m element subsets con...
WB JEE 2020
In a 12 storied building, 3 persons enter a lift cabin. It is known that they will leave the lift at different floors. I...
WB JEE 2020
There are 7 greeting cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The numbe...
WB JEE 2019
A candidate is required to answer 6 out of 12 questions which are divided into two parts A and B, each containing 6 ques...
WB JEE 2019
From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of...
WB JEE 2018
If (2 \$\$ \le \$\$ r \$\$ \le \$\$ n), then \$\${}^n{C_r}\$\$ + 2 . \$\${}^n{C_{r + 1}}\$\$ + \$\${}^n{C_{r + 2}}\$\$ is equal to
WB JEE 2018
The number of selection of n objects from 2n objects of which n are identical and the rest are different, is
WB JEE 2018
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that ...
WB JEE 2017
The number of all numbers having 5 digits, with distinct digits is
WB JEE 2017
\$\${}^{15}{C_3} + {}^{15}{C_5} + \,\,......\,\, + {}^{15}{C_{15}} = \$\$
WB JEE 2011
The number of diagonals in a polygon is 20. The number of sides of the polygon is
WB JEE 2011
If \$\${}^n{C_4}\$\$, \$\${}^n{C_5}\$\$ and \$\${}^n{C_6}\$\$ are in A.P., then n is
WB JEE 2011
If \$\${}^{n - 1}{C_3} + {}^{n - 1}{C_4} > {}^n{C_3}\$\$, then n is just greater than integer
WB JEE 2010
The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is
WB JEE 2010
A polygon has 44 diagonals. The number of the sides is
WB JEE 2009
The number of ways four boys can be seated around a round table in four chairs of different colours is
WB JEE 2008
How many odd numbers of six significant digits can be formed with the digits 0, 1, 2, 5, 6, 7 when no digit is repeated?...
WB JEE 2008
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from th...
WB JEE 2008

## MCQ (More than One Correct Answer)

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On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are 20 students in...
WB JEE 2018

## Subjective

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How many triangles can be formed by joining 6 points lying on a circle?
WB JEE 2011

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