# Permutations and Combinations · Mathematics · WB JEE

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## MCQ (Single Correct Answer)

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 those 8 points?
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
The number of ways four boys can be seated around a round table in four chairs of different colours is
WB JEE 2009
A polygon has 44 diagonals. The number of the sides is
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
If $${}^{n - 1}{C_3} + {}^{n - 1}{C_4} > {}^n{C_3}$$, then n is just greater than integer
WB JEE 2011
If $${}^n{C_4}$$, $${}^n{C_5}$$ and $${}^n{C_6}$$ are in A.P., then n is
WB JEE 2011
The number of diagonals in a polygon is 20. The number of sides of the polygon is
WB JEE 2011
$${}^{15}{C_3} + {}^{15}{C_5} + \,\,......\,\, + {}^{15}{C_{15}} =$$
WB JEE 2023
The number of ways in which the letters of the word 'VERTICAL' can be arranged without changing the order of the vowels is
WB JEE 2023
n objects are distributed at random among n persons. The number of ways in which this can be done so that at least one of them will not get any object...
WB JEE 2023
Let A be a set containing n elements. A subset P of A is chosen, and the set A is reconstructed by replacing the elements of P. A subset Q of A is cho...
WB JEE 2022
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 a row so that neighbouring bal...
WB JEE 2021
Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vo...
WB JEE 2021
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?
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. In how many ways can they do so...
WB JEE 2020
If the total number of m-element subsets of the set A = {a1, a2, ..., an} is k times the number of m element subsets containing a4, then n is...
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 questions and he/she is not permit...
WB JEE 2019
There are 7 greeting cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The number of ways in which the cards c...
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
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
From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is
WB JEE 2017
The number of all numbers having 5 digits, with distinct digits is
WB JEE 2017
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is

## Subjective

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

## MCQ (More than One Correct Answer)

WB JEE 2023
A letter lock consists of three rings with 15 different letters. If N denotes the number of ways in which it is possible to make unsuccessful attempts...
WB JEE 2018
On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are 20 students in the class, the number of card...
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