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?
24
12
36
48
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1
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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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2
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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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3
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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4
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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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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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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7
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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8
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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9
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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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10
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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