In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be answered ?
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A box contains 20 tickets of identical appearance, the tickets being numbered 1, 2, 3, ….., 20. In how many ways can 3 tickets be chosen such that the numbers on the drawn tickets are in arithmetic progression ? |
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A company could advertise about its new product in 4 magazines, 3 newspapers and 2 television channels. But in a later move it decided to give advertisements in only 2 of the magazines, one of the newspapers and one the TV channels. In how many ways can |
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In how many ways can the letters of the word ERGONOMICS be rearranged such that the vowels always appear together? |
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How many different four letter words can be formed (the words need not be meaningful) using the letters of the word PACIFIC such that the first letter is P and the last letter is F? |
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The value of 74P2 is |
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In how many different ways can the letters of the word HARDWARE be arranged in such a way that the vowels always come together. |
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In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women? |
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Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed? |
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3 books of mathematics and 5 books of physics are placed on a shelf so that the books on the same subject always remain together .The possible arrangements are . |
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The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is |
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