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In how many ways can 'mn' things be distributed equally among n groups?

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Important Questions on Permutations and Combinations

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In how many ways can a selection be made of 5 letters out of 5As, 4Bs, 3Cs, 2Ds and 1Es?
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Find the number of ways of selecting 'n' articles out of 3n+ 1, out of which n are identical.
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The number of positive numbers of not more than 10 digits formed by using 0, 1, 2, 3 is
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There is a number lock with four rings with each ring having digits 0 to 9. How many attempts at the maximum would have to be made before getting the right number?
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Find the number of numbers that can be formed using all the digits 1, 2, 3, 4, 3, 2, 1 only once so that the odd digits occupy odd places only.
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There is a 7-digit telephone number with all different digits. If the digit at the extreme right and extreme left are 5 and 6 respectively, find how many such telephone numbers are possible.
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If a team of four persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least one male.
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If a team of four persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made if it has to contain at the maximum of three women?