In how many ways can 10 people line up at a ticket window of a railway station?
36,28,800
34,82,800
33,44,800
33,28,800
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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
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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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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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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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5
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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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6
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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7
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
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8
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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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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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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