Recent questions tagged permutations-and-combinations

How many words can be formed using the letter of the word ''TRIANGLE'' if the vowels are at even place?

asked Jul 25, 2018 by ajkmr98

0 answers

How many 10 digit numbers can be written using digits (9 and 2) ?

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of selecting atleast 4 candidates from 8 candidates is

asked Jun 20, 2014 by sreemathi.v

1 answer

In how many number of ways can 10 students be divided into three teams,one containing four students and the other three?

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of ways in which one can select three distinct integers between 1 and 30 both inclusive ,whose sum is even is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of triangles which can be formed by using the vertices of a regular polygon of (n+3) sides is 220.Then n is equal to

asked Jun 20, 2014 by sreemathi.v

1 answer

How many numbers of 6 digits can be formed from the digits of the number 112233?

asked Jun 20, 2014 by sreemathi.v

1 answer

There are 5 letters and 5 different envelopes.The number of ways in which all the letters can be put in wrong envelope is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of ways four boys can be seated around a round-table in four chairs of different colours is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of natural numbers less than 1000 in which no two digit are repeated is

asked Jun 20, 2014 by sreemathi.v

1 answer

If $nC_{12}=nC_6$ then $nC_2$ is equal to

asked Jun 20, 2014 by sreemathi.v

1 answer

9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes.The number of ways of arranging one ball in each of the boxes is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of diagonals in a octagon will be

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of ways of distributing 8 identical balls in 3 distinct boxes,so that none of the boxes is empty is

asked Jun 20, 2014 by sreemathi.v

1 answer

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

asked Jun 20, 2014 by sreemathi.v

1 answer

If $189C_{35}+189C_x=190C_x$ then $x$ is equal to

asked Jun 20, 2014 by sreemathi.v

1 answer

At an electron,a voter may vote for any number of candidates not greater than the number to be elected.There are 10 candidates and 4 are to be elected.If a voter votes for atleast for atleast one candidate,then the number of ways in which he can vote is

asked Jun 20, 2014 by sreemathi.v

1 answer

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent.

asked Jun 20, 2014 by sreemathi.v

1 answer

There are two urns.Urn A has 3 distinct red balls and urn B has 9 distinct blue balls.From each urn two balls are taken out at random and then transferred to the other.The number of ways in which this can be done is

asked Jun 20, 2014 by sreemathi.v

1 answer

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary.The number of words that appear before the word COCHIN is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of different ways of distributing 10 marks among 3 questions,each questions carrying atleast 1 mark,is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of ways to give away 20 apples to 3 boys,each boy receiving atleast 4 apples is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of arrangements of the letters of the word BHARAT taking 3 at a time is

asked Jun 20, 2014 by sreemathi.v

1 answer

Total number of ways in which 15 identical blanks can be distributed among 4 persons so that each of them gets atleast two blankets is equal to

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of triangles whose vertices are at the vertices of an octagon but none of whose sides happen to come from the octagon is

asked Jun 20, 2014 by sreemathi.v

1 answer

Two numbers are chosen from 1,3,5,7.....147,149 and 151 and multiplied together in all possible ways.The number of ways which will give us the product a multiple of 5 is

asked Jun 20, 2014 by sreemathi.v

1 answer

From 4 gentlemen and 6 ladies a committee of five is to be be selected.The number of ways in which the committee can be formed.So that gentlemen are in majority is

asked Jun 20, 2014 by sreemathi.v

1 answer

ABCD is a convex quadrilateral 3,4,5 and 6 points are marked on the sides AB,BC,CD and DA respectively.The number of triangles with vertices on different sides is

asked Jun 20, 2014 by sreemathi.v

1 answer

An urn contains 3 red pens,4 green pens and 6 yellow pens.The number of ways of drawing 4 pens from the urn if atleast one red pen is to be included in the draw is (All the pens are different from each other).

asked Jun 20, 2014 by sreemathi.v

1 answer

A class has 30 students .We have to form a team of the students including atleast two students and also excluding atleast two students.The number of ways of forming the team is

asked Jun 20, 2014 by sreemathi.v

1 answer

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 is

asked May 20, 2014 by sreemathi.v

1 answer

The number of different matrices that can be formed with elements 0,1,2 or 3 each matrix having 4 elements ,is

asked May 20, 2014 by sreemathi.v

1 answer

In the decimal system of numeration the number of 6-digit numbers in which the sum of the digits is divisible by 5 is

asked May 20, 2014 by sreemathi.v

1 answer

A five digit number divisible by 3 is to be formed using the numerals 0,1,2,3,4 and 5 without repetition.The total number of ways this can be done is

asked May 20, 2014 by sreemathi.v

1 answer

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

asked May 20, 2014 by sreemathi.v

1 answer

In a class of 20 students,every student had a hand shake with every other student.The total no of hand shakes were

asked May 19, 2014 by sreemathi.v

1 answer

The number of words of four letters containing equal number of vowels and consonants ,repetition allowed is

asked May 19, 2014 by sreemathi.v

1 answer

Four couples (husband and wife) decide to form a committee of four members.The number of different committees that can be formed in which no couple finds a place is

asked May 19, 2014 by sreemathi.v

1 answer

A team of four students is to be selected from a total of 12 students.Total number of ways in which team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to

asked May 19, 2014 by sreemathi.v

1 answer

A variable name in certain computer language must be either a alphabet or a alphabet followed by a decimal digit.Total number of different variable names that can exist in that language is equal to

asked May 19, 2014 by sreemathi.v

1 answer

The number of possible outcomes in a throw of n ordinary dice in which atleast one of the dice shows and odd number is

asked May 19, 2014 by sreemathi.v

1 answer

In an examination of a papers a candidate has to pass in more papers than the number of papers in which he fails in order to be successful.The number of ways in which he can be unsuccessful is

asked May 19, 2014 by sreemathi.v

1 answer

If letters of the word 'KUBER' are written in all possible orders and arranged as in a dictionary,then rank of the word 'KUBER' will be

asked May 19, 2014 by sreemathi.v

1 answer

The numbers of five-digit telephone numbers having atleast one of their digits repeated

asked May 19, 2014 by sreemathi.v

1 answer

From 4 officers and 8 jawans,a committee of 6 is to be chosen to include exactly one officer.The number of such committees is

asked May 19, 2014 by sreemathi.v

1 answer

The total number of 9 digit numbers which have all different digits is

asked May 19, 2014 by sreemathi.v

1 answer

The number of arrangements of letters of the word BANANA in which the two N's do not appear adjointly is

asked May 19, 2014 by sreemathi.v

1 answer

If $(k^2-k)C_2=(k^2-k)C_4$ then $k$ is equal to

asked May 19, 2014 by sreemathi.v

1 answer

A seven-digit number made up of all distinct digits 8,7,6,4,2,x and y is divisible by 3.Then possible number of order pair (x,y) is

asked May 19, 2014 by sreemathi.v

1 answer

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