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 (n + 2)! = 2550 (n!); find ’n’
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2
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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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3
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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4
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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5
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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6
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A' | B'). P(B' | A') is equal to
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7
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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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8
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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9
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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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10
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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