Practice Permutation and combination Questions and Answers

• In how ways can the selection be made so that a particular member is always included?
• A person has 12 friends out of which 7 are relatives. In how many ways can he invite 6 friends such that at least 4 of them are relatives?
• In a party 19 persons shake hands with every other person. Find the total no of handshakes in the party?       
• In how many ways 6 novels and 7 notebooks can be arranged in a row so that they are alternate? 
• Geography books are always together.
• History books are never together.
• Geography books are never together.
• History books are always together and also Geography books are always together?
• How many four digit numbers greater than 5000 can be formed with the digits 4 ,5, 7, 8, and 9?  
• How many numbers of five digits may be formed with the digits 5, 0, 9, 0, and 6?          
• In how many ways can 2 girls and 8 boys be seated in a row so that girls are always together?
• A committee of 5 members is to be formed out of 6 men and 4 women. In how many ways can a committee consisting of atleast 1 woman be formed?
• In how many ways can the letters of the word VOWEL can be arranged so that all the consonants occupy odd places, vowels come  on even places?
• 8 students appear in an examination. In how many ways can the result be announced?
• How many 8 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 1, 2, 4 ?
• How many words can be formed with the letter of the word ‘NUMBER’ when alll vowels are never together?
• If the letters of the Word SINHA are arranged in all possible ways and these words are written out as in Dictionary, then the rank of the word SINHA is
• In how many different ways can the letters of the word “DISCHARGE” be arranged in such a way that the vowels always come together?
• Among a set of 6 black balls and 3 white balls, how many selections of 5 balls can be made such that at least 3 of them are black balls?
• In how many different ways can the letters of the word ‘PADDLED’ be arranged?
• 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?