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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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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2
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How many rectangles can be formed out of a chess board ?
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3
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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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4
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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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5
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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 |
6
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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7
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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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8
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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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9
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A polygon has 44 diagonals. What is the number of its sides?
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10
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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