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How many words can be made out of the letters of word 'POUNDING'  such that all vowels occupy odd places?

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Important Questions on Permutation and Combination

MEDIUM
In how many different ways can the letters of word CANDIDATE can be arranged in such a way that the vowels always come together?
HARD
If 56Pr+6:Pr+354=30800:1, then
EASY
How many number divisible by 5 of 6 digit can be made from the digit 2,3,4,5,6,7
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In a group of 6 girls, two are sisters. In how many ways can they sit if the sisters do not sit with each other
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How many numbers of four digits can be made by using the digits 3, 5, 6, 7, and 9?  (Repetition of digits is not allowed)

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a,b,c are three particular speakers among the 10 speakers of a meeting. The number of ways of arranging all the 10 speakers on the dias in a row so that all the three speakers a,b,c do not sit together is
MEDIUM

The number of (a, b, c), where a, b, c are positive integers such that abc = 30, is

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The number of integers greater than 6000 that can be formed with 3, 5, 6, 7 and 9 where no digit is repeated, is
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In how many ways the letters of word 'MACHINE' can be arranged so that vowels will always be together?

HARD
The number of 4 digit numbers without repetition that can be formed using the digits 1, 2, 3, 4, 5, 6, 7 in which each number has two odd digits and two even digits is
MEDIUM
The total number of 4 digit numbers in which the digits are in ascending order is
EASY
If Pr+656:Pr+3=30800:154 , then r is equal to
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The number of 6 digit telephone numbers having atleast one of their digits repeated is
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If P4n=20nP2 where P denotes the number of permutations, then n= ________
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The number of arrangements containing all the seven letter of the word ALRIGHT that begins with LG is
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Ten different letters of an alphabet are given, words with five letters are formed from these given letters. Then, the number of words which have at least one letter repeated is
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The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are
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If Prn=840 and Crn=35, then the value of r is equal to
MEDIUM
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is:
HARD
A five-digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is