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Let n be the number of different five-digit numbers, divisible by four with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?
 

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Important Questions on Permutations and Combinations

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How many numbers greater than 0 and less than a million can be formed with the digits 0, 7 and 8?

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In how many ways is it possible to choose a white square and black square on a chessboard so that the squares must not lie in the same row or same column?
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Twenty-seven persons attend a party. Which one of the following statements can never be true?
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There are six boxes numbered 1,2.......6. Each box is to be filled up either with a red or a green ball in such a way that at least one box contains a green ball and the boxes containing green balls are consecutively numbered. Find the total number of ways in which this can be done.

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How many numbers can be formed with odd digits 1, 3, 5, 7, 9 without repetition?
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In how many ways, five chocolates can be chosen from an unlimited number of Cadbury, Five-star and Perk chocolates?

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How many even numbers of four digits can be formed with the digits 1, 2, 3, 4, 5, 6 (repetitions of digits are allowed)?
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How many 4-digit numbers divisible by 5 can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 6?