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Practice Permutation and combination Questions and Answers

An examinee is required to answer the eight questions out of 16 questions which are divided into two groups each containing eight questions each and he is ...
In how many ways can the letters of the word TERRORISTS be arranged by taking 4 letters at a time?
How many different words can be formed with the letters of the word PRACTICE such that each of the word begin with E and ends with R?
In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
In how ways can the selection be made so that a particular member is always included?
In how ways can the selection be made so that a particular member is always excluded?
In how many different ways can the letter of the word ‘PRAISE’ be arranged?
In how many ways can the letters of the word ENGINEERING be arranged?
Salman has a list of 12 friends. He wishes to invite some of them in such a manner that he can enjoy maximum number of parties, but in each party the numbe...
A bag contains 4 violet, 2 grey and 6 black pullovers. 3 pullovers are chosen at random. What is the probability that at least 2 pullovers chosen will be v...
From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?
In how many different ways can the letters of the word ‘CURIOES’ be arranged in such a way that the vowels occupy only the odd positions?
How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 5, without repeating the digits?
In how many different ways can 4 blue beads and 3 red beads be arranged in a row such that all the blue beads are together and all the red beads are togeth...
How many no. of 4 digits can be formed with the digits 4, 8, 7 & 3 no digit being repeated. ...
Find the number of words formed by using all the letter of the word MEMBER, so that the vowels are always together. ...
There are 14 candidates for 5 post. In how many different ways can be post be filled?
Out of 6 men and 3 women a committee of 3 members is to be formed so that it has 2 men and 1 woman. In how many different ways can this be done?
In how many different ways can 6 History and 5Hindi books be arranged in a shelf so that they are arranged alternately?
In how many different ways can the letters of the word QUANTITY be arranged so that the vowels always come together?
An examinee is required to answer 7 questions out of 14 questions, which are divided into two groups each containing 7 questions. He is not permitted to an...
In how ways can the selection be made so that a particular member is always included? ...
In how ways can the selection be made so that a particular member is always excluded? ...
In an election, a voter may vote for any number of candidates not greater than the number to be chosen. There are 8 candidates and 5 members are to be chos...
How many different words can be formed with the letters of the word PRACTICE such that each of the word begin with E and ends with R?
In how ways can the selection be made so that a particular member is always included?
In how ways can the selection be made so that a particular member is always excluded?
In how many different ways can the letters of the word QUANTITY be arranged so that the vowels always come together?
In how many different ways can the letters of the word 'REMAINING' be arranged?
Four dice are rolled simultaneously. What is the number of possible outcomes in which at least one of the die shows 2?
Nine boys have to stand in a circle. In how many ways they are to be stand on the circumference of circle?
In how many different ways can the letter of the word CHESTNUT is arranged so that vowels always occur together?
In how many different ways can the letter of the word WELCOME is arranged so that vowels always occur together?
In a group of 5 boys and 4 girls, 5 students have to be selected. In how many ways it can be done so that only 2 boys are included.
In a group of 9 boys and 5 girls, 5 students have to be selected. In how many ways it can be done so that only 2 boys are included.
In a group of 9 boys and 6 girls, 5 students have to be selected. In how many ways it can be done so that only 2 boys are included.
Find the number of words that can be formed by using all letters of the word ' PAINTING', if it starts with letter A and end with letter T.
Find the number of words that can be formed by using all letters of the word 'ESCAPE', if it starts with letter C and end with letter P.
Find the number of words that can be formed by using all letters of the word ' FRIDAY', if order of vowels remains same.
Find the number of words that can be formed by using all letters of the word 'LAPTOP', if order of vowels remains same.

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