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Recent questions tagged permutations-and-combinations

The number of different four digit numbers that can be formed with the digit 2,3,4,7 and using each digit only once is

asked May 16, 2014 by sreemathi.v

1 answer

The number of possible outcomes when a coin is tossed 6 times is

asked May 16, 2014 by sreemathi.v

1 answer

If $nC_{12}=nC_8$ then $n$ is equal to

asked May 16, 2014 by sreemathi.v

1 answer

A group consists of 4 girls and 7 boys.In how many ways can a team of 5 members be selected if the team has at least three girls

asked May 16, 2014 by sreemathi.v

1 answer

A group consists of 4 girls and 7 boys.In how many ways can a team of 5 members be selected if the team has at least one boy and one girl

asked May 16, 2014 by sreemathi.v

1 answer

A group consists of 4 girls and 7 boys.In how many ways can a team of 5 members be selected if the team has no girls

asked May 15, 2014 by sreemathi.v

1 answer

A sports team of 11 students is to be constituted,choosing at least 5 from class XI and 6 from XII.If there are 20 students in each of these classes,in how many ways can the team be constituted?

asked May 15, 2014 by sreemathi.v

1 answer

In how many ways can a football team of 11 players be selected from 16 players?How many of them will exclude 2 particular players?

asked May 15, 2014 by sreemathi.v

1 answer

In how many ways can a football team of 11 players be selected from 16 players?How many of them will include 2 particular players?

asked May 15, 2014 by sreemathi.v

1 answer

A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if they must all be of the same colour

asked May 15, 2014 by sreemathi.v

1 answer

A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if two must be white and two red

asked May 15, 2014 by sreemathi.v

1 answer

A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if they can be of any colour

asked May 15, 2014 by sreemathi.v

1 answer

$18$ mice were placed in two experimental groups and one control group,with all groups equally large.In how many ways can the mice be placed into three groups?

asked May 15, 2014 by sreemathi.v

1 answer

A convex polygon has 44 diagonals.Find the number of its sides

asked May 15, 2014 by sreemathi.v

1 answer

In an examination a student has to answer 4 questions out of 5 questions;questions 1 and 2 are compulsory.Determine the number of ways in which the student can make choice.

asked May 15, 2014 by sreemathi.v

1 answer

In a certain city,all telephone numbers have six digits,the first two digits always being 41 or 42 or 46 or 62 or 64.How many telephone numbers have all six digits distinct.

asked May 15, 2014 by sreemathi.v

1 answer

If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent,in how many points will they intersect each other

asked May 15, 2014 by sreemathi.v

1 answer

Find the number of integers greater than 7000 that can be formed with the digits 3,5,7,8 and 9 where no digits are repeated

asked May 15, 2014 by sreemathi.v

1 answer

If $nC_{r-1}=36,nC_r=84$ and $nC_{r+1}=126$ then find $rC_2$

asked May 15, 2014 by sreemathi.v

1 answer

A box contain two white,three black and four red balls. In how many ways can three balls be drawn from the box,if atleast one black ball is to be includedin the draw

asked May 15, 2014 by sreemathi.v

1 answer

There are $10$ lamps in a hall.Each one of them can be switched on independently.Find the number of ways in which the hall can be illuminated.

asked May 15, 2014 by sreemathi.v

1 answer

There are 10 persons named $P_1,P_2,P_3.....P_{10}$.Out of 10 persons,5 person are to be arranged in a line such that in each arrangement $P_1$ must occur where as $P_4$ and $P_5$ do not occur.Find the number of such possible arrangement.

asked May 15, 2014 by sreemathi.v

1 answer

Find the number of different words that can be formed from the letters of the word TRIANGLE so that no vowels are together

asked May 15, 2014 by sreemathi.v

1 answer

Find the number of permutations of n distinct things taken r together in which 3 particular things must occur together.

asked May 15, 2014 by sreemathi.v

1 answer

A bag contains 5 black and 6 red balls.Determine the number of ways which 2 black and 3 red balls can be selected from the lot.

asked May 15, 2014 by sreemathi.v

1 answer

How many automobile license plates can be made if each plate contains two different letters followed by three different digits?

asked May 15, 2014 by sreemathi.v

1 answer

How many committee of five persons with a chairperson can be selected from 12 persons

asked May 15, 2014 by sreemathi.v

1 answer

We wish to select 6 persons from 8,but if the person A is chosen,then B must be chosen.In how many ways can selection be made?

asked May 15, 2014 by sreemathi.v

1 answer

Out of 18 points in a plane,no three are in the same line except five points which are collinear.Find the number of lines that can be formed joining the points

asked May 15, 2014 by sreemathi.v

1 answer

A candidate is required to answer 7 questions out of 12 questions,which are divided into two groups,each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. Find the number of different ways of doing questions.

asked May 15, 2014 by sreemathi.v

1 answer

If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary.Then what is the rank of the word RACHIT?

asked May 14, 2014 by sreemathi.v

1 answer

Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements.

asked May 14, 2014 by sreemathi.v

1 answer

In how many ways can the letters of the word ASSASSINATION be arranged so that all the S's are together?

asked May 14, 2014 by sreemathi.v

1 answer

From a class of 25 students 10 are to be chosen for an excursion party.There are 3 students who decide that either all of them will join or none of them will join.In how many ways can the excursion party be chosen?

asked May 14, 2014 by sreemathi.v

1 answer

It is required to sit 5 men and 4 women in a row so that the woman occupy the even places.How many such arrangemens are possible?

asked May 14, 2014 by sreemathi.v

1 answer

Determine the number of 5 cards combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.

asked May 14, 2014 by sreemathi.v

1 answer

In an examination a question paper consists of 12 questions divided into two parts (i.e) Part I and Part II.Containing 5 and 7 questions respectively.A student is required to attempt 8 question in all,selecting at least 3 from each part.In how many ways can a student select the questions 2

asked May 14, 2014 by sreemathi.v

1 answer

The English alphabet has 5 vowels and 21 consonants.How many words with two different vowels and two different consonants can be formed from the alphabet?

asked May 14, 2014 by sreemathi.v

1 answer

How many 6 digit numbers can be formed from the digits 0,1,3,5,7 and 9 which are divisible by 10 and no digit is repeated?

asked May 14, 2014 by sreemathi.v

1 answer

If the different permutations of all the letters of the word EXAMINATION are listed as in dictionary,how many words are there in this list before the first word starting with E?

asked May 14, 2014 by sreemathi.v

1 answer

A committee of $7$ has to be formed from $9$ boys and $4$ girls.In how many ways can this be done when the committee consists of At most $3$ girls?(i) No girl,$7$ boys, (ii) $1$ girl,$6$ boys,(iii) $2$ girls,$5$ boys,(iv) $3$ girls,$4$ boys

asked May 14, 2014 by sreemathi.v

1 answer

A committee of 7 has to be formed from 9 boys and 4 girls.In how many ways can this be done when the committee consists of A committee having at least 3 girls will consists of (a) 3 girls 4 boys (b) 4 girls 3 boys

asked May 14, 2014 by sreemathi.v

1 answer

A committee of 7 has to be formed from 9 boys and 4 girls.In how many ways can this be done when the committee consists of Exactly 3 girls?

asked May 14, 2014 by sreemathi.v

1 answer

How many words with or without meaning can be formed with letters of the word EQUATION at a time so that vowels and consonants occur together?

asked May 14, 2014 by sreemathi.v

1 answer

How many words,with or without meaning,each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?

asked May 14, 2014 by sreemathi.v

1 answer

In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 courses are compulsory for every student.

asked May 14, 2014 by sreemathi.v

1 answer

A bag contains 5 black and 6 red balls.Determine the number of ways in which 2 black and 3 red balls can be selected

asked May 14, 2014 by sreemathi.v

1 answer

In how many ways can we select a cricket eleven from 17 players in which only 5 players can bowl if each cricket eleven must include exactly 4 bowlers?

asked May 14, 2014 by sreemathi.v

1 answer

Determine the number of 5 cards combination out of a deck of 52 cards if there is exactly one ace in each combination

asked May 14, 2014 by sreemathi.v

1 answer

Find the number of ways of selecting 9 balls from 6 red balls,5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.

asked May 14, 2014 by sreemathi.v

1 answer

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