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The number of numbers, strictly between and can be formed using the digits without repetition, is
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Important Questions on Permutation and Combination
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is equal to
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Suppose Anil's mother wants to give whole fruits to Anil from a basket of red apples, white apples and oranges. If in the selected fruits, at least orange, at least one red apple and at least one white apple must be given, then the number of ways, Anil's mother can offer fruits to Anil is _____ .
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If all the six digit numbers with are arranged in the increasing order, then the sum of the digits in the number is _______.
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Five digit numbers are formed using the digits with repetitions and are written in descending order with serial numbers. For example, the number has serial number . Then the serial number of is
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The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is :
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The number of digit numbers, that are divisible by either or but not divisible by , is
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The total number of -digit numbers whose greatest common divisor with is , is
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Let . Then the number of one-one functions , where denote the power set of , such that where is
