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How many words can be formed by using all the letters of the word “NISARGA” so that the vowels are never together?

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Important Questions on Permutation and Combination

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Mathematics>Algebra>Permutation and Combination>Permutations
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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Mathematics>Algebra>Permutation and Combination>Permutations
If Prn=840 and Crn=35, then the value of r is equal to
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Mathematics>Algebra>Permutation and Combination>Permutations

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

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Mathematics>Algebra>Permutation and Combination>Permutations
The total number of 4 digit numbers in which the digits are in ascending order is
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Mathematics>Algebra>Permutation and Combination>Permutations
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:
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Mathematics>Algebra>Permutation and Combination>Permutations
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
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Mathematics>Algebra>Permutation and Combination>Permutations
If 56Pr+6:Pr+354=30800:1, then
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Mathematics>Algebra>Permutation and Combination>Permutations
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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Mathematics>Algebra>Permutation and Combination>Permutations

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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Mathematics>Algebra>Permutation and Combination>Permutations

In how many ways the letters of word 'MACHINE' can be arranged so that vowels will always be together?

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Mathematics>Algebra>Permutation and Combination>Permutations
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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Mathematics>Algebra>Permutation and Combination>Permutations
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
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Mathematics>Algebra>Permutation and Combination>Permutations
The number of 6 digit telephone numbers having atleast one of their digits repeated is
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Mathematics>Algebra>Permutation and Combination>Permutations
If P4n=20nP2 where P denotes the number of permutations, then n= ________
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Mathematics>Algebra>Permutation and Combination>Permutations
The number of arrangements containing all the seven letter of the word ALRIGHT that begins with LG is
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Mathematics>Algebra>Permutation and Combination>Permutations
The total number of permutations of n(>1) different things taken not more than r at a time, when each thing may be repeated any number of times is
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Mathematics>Algebra>Permutation and Combination>Permutations
Two girls and four boys are to be seated in a row in such a way that the girls do not sit together. In how many different ways can it be done?
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Mathematics>Algebra>Permutation and Combination>Permutations
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
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Mathematics>Algebra>Permutation and Combination>Permutations
If Pr+656:Pr+3=30800:154 , then r is equal to
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Mathematics>Algebra>Permutation and Combination>Permutations
In how many different ways can the letters of word CANDIDATE can be arranged in such a way that the vowels always come together?