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How many numbers can be formed with the digits $1, 7, 2, 5$ without repetition?

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Important Questions on Counting Principles

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

How many number divisible by

5

6

digit can be made from the digit

2, 3, 4, 5, 6, 7

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

{}^{n}P_{r} = 840

and

{}^{n}C_{r} = 35

, then the value of

r

is equal to

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

The total number of

4

digit numbers in which the digits are in ascending order is

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

^{56} P_{r + 6} : {}^{54}P_{r + 3} = 30800 : 1

, then

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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

HARD

Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

The number of

6

digit telephone numbers having atleast one of their digits repeated is

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

{}^{n}P_{4} = 20^{n} P_{2}

where

P

denotes the number of permutations, then

n =

________

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

The number of arrangements containing all the seven letter of the word ALRIGHT that begins with LG is

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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?

HARD

Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

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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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

{}^{56}{P_{r + 6}} : {}^{54}{P_{r + 3} = 30800 : 1}

,

then

r

is equal to

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Quantitative Aptitude>Arithmetic>Counting Principles>Permutation

In how many different ways can the letters of word CANDIDATE can be arranged in such a way that the vowels always come together?

How many numbers can be formed with the digits 1, 7, 2, 5 without repetition?

Important Questions on Counting Principles

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How many numbers can be formed with the digits $1, 7, 2, 5$ without repetition?