Quantitative Abilities>Arithmetic>Probability>Permutations

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How many six digit numbers can be formed out of $4 5 . . . . . . 9$ no digits being repeated?

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Important Questions on Probability

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Quantitative Abilities>Arithmetic>Probability>Permutations

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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Quantitative Abilities>Arithmetic>Probability>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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Quantitative Abilities>Arithmetic>Probability>Permutations

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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Quantitative Abilities>Arithmetic>Probability>Permutations

If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in English dictionary, then the position of the word QUEEN is:

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Quantitative Abilities>Arithmetic>Probability>Permutations

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

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Quantitative Abilities>Arithmetic>Probability>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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Quantitative Abilities>Arithmetic>Probability>Permutations

If

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

where

P

denotes the number of permutations, then

n =

________

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Quantitative Abilities>Arithmetic>Probability>Permutations

The number of four-digit numbers strictly greater than

4321

that can be formed using the digit

0,1, 2,3, 4,5

(repetition of digits is allowed) is:

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Quantitative Abilities>Arithmetic>Probability>Permutations

if

{}^{n}P_{5} : {}^{n}P_{3}

is

2 : 1

than value of

n

is

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Quantitative Abilities>Arithmetic>Probability>Permutations

If

{}^{n}p_{6} = 20 {}^{n}p_{4}

then the value of

n

is given by

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Quantitative Abilities>Arithmetic>Probability>Permutations

The sum of the digits in the unit's place of all the

4

- digit numbers formed by using the numbers

3, 4, 5

and

6

, without repetition is :

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Quantitative Abilities>Arithmetic>Probability>Permutations

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

HARD

Quantitative Abilities>Arithmetic>Probability>Permutations

If all the words (with or without meaning) having five letters, formed using the letters of the word

S M A L L

and arranged as in a dictionary; then the position of the word

S M A L L

is

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Quantitative Abilities>Arithmetic>Probability>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?

HARD

Quantitative Abilities>Arithmetic>Probability>Permutations

All possible numbers are formed using the digits

1, 1, 2, 2, 2, 2, 3, 4, 4

taken all at a time. The number of such numbers in which the odd digits occupy even places is

HARD

Quantitative Abilities>Arithmetic>Probability>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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Quantitative Abilities>Arithmetic>Probability>Permutations

The number of

6

digit number that can be formed using the digits

0, 1, 2, 5, 7

and

9

which are divisible by

11

and no digit is repeated is:

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Quantitative Abilities>Arithmetic>Probability>Permutations

5

boys and

3

girls are to be seated together such that no two girls are together

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Quantitative Abilities>Arithmetic>Probability>Permutations

Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is

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Quantitative Abilities>Arithmetic>Probability>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)