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?
1360
1060
1160
1260
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1
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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2
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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3
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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4
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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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5
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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6
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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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7
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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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8
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In how many ways can the letters of the word 'LEADER' be arranged?
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9
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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 = 23 = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 |
10
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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