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The latest registration number issued by the Delhi Motor Vehicle Registration Authority is . If all the numbers and alphabets before this have been used up, then find how many vehicles have a registration number starting with ?

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Important Questions on Permutations and Combinations
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There are balls numbered . They are arranged in all possible ways. How many arrangements would be there in which , ball will always be before ball and the two of them will be adjacent to each other?

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Find the sum of the number of sides and number of diagonals of a hexagon.

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A tea party is arranged for people along two sides of a long table with chairs on each side. men wish to sit on one particular side and on the other. In how many ways can they be seated (provided ).

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

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In how many ways can a selection be made of letters out of As, Bs, Cs, Ds and Es?

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Find the number of ways of selecting '' articles out of , out of which are identical.

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The number of positive numbers of not more than digits formed by using is

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There is a number lock with four rings with each ring having digits to . How many attempts at the maximum would have to be made before getting the right number?
