HARD
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If all the permutations of the word "MOTHER' were arranged in alphabetical order, at what rank would 'MOTHER' appear ?
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Important Questions on Permutation and Combination
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If all the words (with or without meaning) having five letters, formed using the letters of the word and arranged as in a dictionary; then the position of the word is
MEDIUM
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:
MEDIUM
From different novels and different dictionaries, novels and 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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The number of four-digit numbers strictly greater than that can be formed using the digit (repetition of digits is allowed) is:
EASY
If then is equal to
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The number of letter words (with or without meaning) that can be formed from the eleven letters of the word is
EASY
The sum of the digits in the unit's place of all the - digit numbers formed by using the numbers and, without repetition is :
HARD
The number of digit numbers without repetition that can be formed using the digits in which each number has two odd digits and two even digits is
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How many ways are there to arrange the letters of the word so that all the following three conditions hold?
- the vowels occur in the same order
- the consonants occur in the same order
- no two consonants are next to each other.
MEDIUM
The number of distinct primes dividing Is
EASY
The number of digit number that can be formed using the digits and which are divisible by and no digit is repeated is:
MEDIUM
How many natural numbers are there such that is a perfect square ?
EASY
How many numbers of four digits can be made by using the digits and ? (Repetition of digits is not allowed)
HARD
All possible numbers are formed using the digits taken all at a time. The number of such numbers in which the odd digits occupy even places is
EASY
In how many ways the letters of word 'MACHINE' can be arranged so that vowels will always be together?
HARD
If the letters of the word be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word is.....
EASY
If and , then the value of is equal to
MEDIUM
The largest non-negative integer such that divides is
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The number of all digits numbers (in base ) for which is
MEDIUM
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?
