The value of ^{75}P_{2}
5450
5555
5550
5656
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1
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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2
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If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
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3
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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4
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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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5
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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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6
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Find the probability that a leap year selected at random will contain 53 Sundays
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7
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A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
Solution 
8
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A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
SolutionPerson will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (4) = 12 Total outcome of 2 head and 1 tail = 2^{3} = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 
9
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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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10
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In how many ways can the letters of the word 'LEADER' be arranged?
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