How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
5
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20
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1
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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2
Discuss

In a single throw with four dice,the probability of throwing seven is
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3
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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4
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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?
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5
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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6
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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7
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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 
8
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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9
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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10
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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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