Practice Permutation and combination Questions and Answers

• How many different nine digit numbers can be formed from the number 66 55 99 222 by rearranging its digits so that the odd digits occupy even positions onl...
• 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...
• There are two types of animals in a pet shop. Some are puppies and some are kittens. Each kitten takes 8 biscuits and each puppy takes 11 biscuits. If 500 ...
• 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.