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How many 6 digit numbers can be formed out of the number 567724, which are even?

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Important Questions on Permutations & Combinations

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How many numbers greater than a million can be formed with the digits 5,5,2,2,1,7,0 ?
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How many different words can be formed with the letters of the word REGURGITATE so that the two T s are always together?
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The number of ways in which the letters of the word SUMPTUOS can be arranged so that the two U's do not come together is :
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In how many ways the letters of the word AFLATOON be arranged if the consonants and vowels must occupy alternate places?
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In how many ways can the letters of the word SOOTHSAYER be arranged so that the two S's and two O 's come together?
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There are three copies of each of 4 different books. In how many ways can they be arranged in a shelf?
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There are 3 red, 4 green and 5 pink marbles in a bag. They are drawn one by one and arranged in a row. Assuming that all the 12 marbles are drawn, determine the number of different arrangements.
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There are 12 umbrellas placed in a row. Out of these, 3 identical umbrellas are of red colour, 4 identical umbrellas are of pink colour and 5 identical umbrellas are of white colour. In how many ways can these 12 umbrellas be arranged so that at least one umbrella is separated from the umbrellas of the same colour?