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Permutation and Combination — BITSAT Mathematics PYQs

31 previous year questions from Permutation and Combination with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

Permutation and Combination — BITSAT Mathematics PYQs

A person invites a party of 10 friends at dinner and place so that 4 are on one round table and 6 on the other round table. Total number of ways in which he can arrange the guests

How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions

If ²² P_ r+1 : ²⁰ P_ r+2 =11: 52 , then r is equal to

At an election a voter may vote for any number of candidates not exceeding the number to be elected. If 4 candidates are to be elected out of the 12 contested in the election and v

The number of arrangements of all digits of 12345 such that at least 3 digits will not come in its position is

How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions?

Number of words from the letters of the words BHARAT in which B and H will never come together is

The number of different seven-digit numbers that can be written using only the three digit 1 , 2 and 3 with the condition that the digit 2 occurs twice in each number is

The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

How many numbers lying between 999 and 10000 can be formed with the help of the digits 0,2,3,6,7,8 , when the digits are not repeated?

If 16 identical pencils are distributed among 4 children such that each gets at least 3 pencils. The number of ways of distributing the pencils is

The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is

Total number of ways of selecting 2 white squares on a normal chess board if the squares are not from the same row or column is equal to

A person invites a party of 10 friends at dinner and place them so that 4 are on one round table and 6 on the other round table. The number of ways in which he can arrange the gues

A person writes letter to six friends and addresses the corresponding envelopes. Let x be the numbers of ways so that at least two of the letters are in wrong envelopes and y be th

If a parallelogram is cut by two sets of m lines parallel to its sides, then the number of parallelogram thus formed, is

The value of &#8721; r = 1 10 r &#183; C r n C r - 1 n is equal to

The number of times the digit 5 will be written when listing the integers from 1 to 1000 , is

All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is

If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is:

The total number of 4 -digit numbers in which the digits are in descending order, is

The number of all three elements subsets of the set a₁, a₂, a₃ a_ n which contain a₃ is

In how many ways can a committee of 5 made out 6 men and 4 women containing atleast one woman?

In how many ways can 5 boys and 5 girls be seated at a round table so that no two girls may be together?

A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the dra

In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes?

The number of positive integral solution of abc =30 is

If ( ²⁰ C _ r = ²⁰ C _ r -10 ) then ( ¹⁸ C _ r ) is equal to

If ( 1-i 1+i =A+i B ), then (A^2+B^2 ) equals to

In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be 70 then the number of diagonals of the polygon

If ( 2 x+3 5 < 4 x-1 2 ), then (x ) lies in the interval

The value of ∑ r = 1 10 r · C r n C r - 1 n is equal to