What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
55566
66660
56456
84738
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1
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If C(n, 7) = C(n, 5), find n
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2
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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3
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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4
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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5
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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6
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If (n + 2)! = 2550 (n!); find ’n’
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7
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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8
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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9
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If
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10
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The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
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