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The letters of the word "GOPAL" are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary, then the rank of the word "GOPAL" is
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Important Questions on Permutation and Combination
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If all possible numbers are formed by using the digits without repetition and they are arranged in descending order, then the rank of the number is
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In how many ways the letters of word 'MACHINE' can be arranged so that vowels will always be together?
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If the number of all possible permutations of the letters of the word in which the repeated letters are not together is , then
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If Then, the value of is
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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-letter words that can be formed with letters such that all three letters occur is
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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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In a group of girls, two girls are sisters. The number of ways in which the girls can sit so that the two sisters are not sitting together 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:
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The number of digit number that can be formed using the digits and which are divisible by and no digit is repeated is:
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The number of words with or without meaning which can be made using all the letters of the word AGAIN. If these words are written as in a dictionary, then the word will be
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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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A dictionary is printed consisting of letters words only that can be made with a letters of word CRICKET. If the words are printed at the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is
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In a storied building, persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can they do so if the lift does not stop at the second floor?
EASY
The number of ways in which girls and boys can be seated in a row so that no two boys are together is
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There are books in black cover and books in blue cover, and all books are different. The number of ways these books can be arranged on a shelf so that all the book in black cover are put side by side is
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boys of class , boys of class and boys of class sit in a row. The number of ways they can sit so that boys of the same class sit together is
EASY
How many numbers of four digits can be made by using the digits and ? (Repetition of digits is not allowed)
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 :
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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?
