Practice Permutation and combination Questions and Answers

• In how many different ways can the letter of the word ‘STRONG’ be arranged?     
• There are 20 Bikes in the No-Parking zone. On a Particular day, A policeman planned to fine the four bikes of the No-Parking Zone. In how many ways can he ...
• In a Group of 8 boys and 6 girls, Six children are to be selected. In how many different ways can they be selected such that at least one boy should be the...
• In how many different ways can the letter of the word ‘PRAISE’ be arranged?      
• In how many different ways can 6 boys and 3 girls to  be seated in a row such that all the boys seated together and all the girls seated together?
• In how many different ways can the letter of the word ‘JUSTICE’ be arranged? 
• In how many different ways can the letters of the word “INCORPORATION” be arranged so that the vowels comes together?
• From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?
• How many words can be formed from the word INCREASE in which both E’s do not come together?
• In how many different ways can the letters of the word “MONDAY” be arranged in such a way that the vowels always come together?
• In how many different ways can the letters of the word ‘VARIOUS’  be arranged in such a way that the vowels occupy only the odd positions? ...
• In how many ways can a group of 2 boys and 2 girls be made out of a total of 6 boys and 4 girls?
• In how many ways Barcelona’s football team captain and vice-captain be elected from a team of 15 men?
• There are 10 members in a delegation which is to be sent at SAARC summit. The total number of members is 18. In how many ways can the selection be made so ...
• Among a set of 4 black balls and 3 white balls, how many selections of 3 balls can be made such that at least 2 of them are black balls?
• Find the no. of words formed by using all the letter of the word DISCOUNT, so that the vowels are never together?
• A Consignment of 12 mobile phones contains 4 defectives. The mobile phones are selected at random one by one and examined. The ones examined are not put ba...
• Akshay has 7 relatives, 3 males and 4 females. His wife twinkle also have 7 relatives, 3 females and 4 males. In how many ways can they invite 3 male and 3...
• Maria and Ariana were only two girls participating in a Billiards tournament. Every Participant played two games with every other participant. The number o...
• In how many ways a Cricketer can make a Double century with fours and Sixes only?
• 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?