How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
496
728
486
1084
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1
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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2
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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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3
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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4
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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5
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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6
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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7
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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8
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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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9
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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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10
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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