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.
2! x 19!
18!
18! x 2!
19!
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1
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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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2
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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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3
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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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4
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How many rectangles can be formed out of a chess board ?
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5
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Find the probability that a leap year selected at random will contain 53 Sundays
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6
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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7
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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8
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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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9
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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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10
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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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