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A set of fifteen different words are given. In how many ways, is it possible to choose a subset of not more than five words?

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Important Questions on Permutations and Combinations

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In how many ways can12 papers can be arranged if the best and the worst paper never come together?
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In how many ways, can the letters of the word "EDUCATION" be arranged so that all the vowels come together?
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A man has 3 shirts, 4 trousers and 6 ties. What are the number of ways in which he can dress himself with a combination of all the three?
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How many motor vehicle registration number of four-digits can be formed with the digits 0, 1, 2, 3, 5? (No repeated digits allowed)
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How many motor vehicle registration number plates can be formed with the digits (1, 2, 3, 4, 5) if the registration number can have 1 to 5 digits? (No repeated digits allowed)
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There are 25 points on a plane of which 7 are collinear. Find how many quadrilaterals can be formed from these points?
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There are ten subjects in the school day at St. Vincent's High School, but the sixth standard students have only 5 periods in a day. In how many ways can we form a timetable for the day for the sixth standard students if no subject is repeated?
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There are 8 Consonants and 5 Vowels in a word jumble. In how many ways can we form 5-letter words having 3 Consonants and 2 Vowels?