Practice Permutation and combination Questions and Answers

• 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 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.
• Find the number of words that can be formed by using all letters of the word 'PAINT', if order of vowels remains same.
• In how many different ways can the letters of the word ‘FLOWER’ be arranged in such a way that the vowels occupy only the odd positions?
• In how many different ways can the letters of the word ‘NATURE’ be arranged in such a way that the vowels occupy only the odd positions?
• In how many different ways can the letters of the word ‘PUBLIC’ be arranged in such a way that the vowels occupy only the odd positions?
• In how many ways can 4 boys and 3 girls can be seated in a row so that they are in alternate position.
• In how many ways can 3 boys and 2 girls can be seated in a row so that they are in alternate position.
• In how many ways can 6 boys and 3 girls can be seated in a row so that they are in alternate position.
• In how many ways can 7 boys and 2 girls can be seated in a row so that they are in alternate position.
• In how many different ways can the letters of word ‘PUMPKIN’ be arranged?
• In how many ways can the letters of the word ‘MEDICAL’ be rearranged so that the vowels never come together?
• A box contains 2 blue, 3 black and 5 orange balls. In how many ways can 3 balls be drawn from the box, if at least 1 black ball is to be included in the dr...
• Find the quantity of arrangements of the letters of the word INDEPENDENCE if all the vowels always occur together?
• Find the quantity of methods of picking 4 cards from a set of 52 playing cards if four cards are of the same unit? ...
• Which of the following is TRUE for “complementary event or ‘not event’”?
• What will be the number of permutations of n different things, taken r at a time, where repeatition is allowed?
• Find the number of words that can be formed by using all letters of the word 'TANGLE', if it starts with letter G and end with letter A.
• How many different ways can the letters of the word ‘DEMONETIZATION’ be arranged?
• How many ways can 8 women and 8 men be seated around a circular table where no two women can sit together?
• 7 children are to be selected from a group of 8 boys and 6 girls. In how many ways will the children with at most 3 girls and at least 4 boys be selected?