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Practice Permutation and combination Questions and Answers

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.
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?
In How many ways can a student choose a program of 5 courses, if 9 courses are available and 2 courses are compulsory for every student?

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