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 fiveletter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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2
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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3
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If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
4
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
Solution 
5
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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6
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If C(n, 7) = C(n, 5), find n
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7
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Solution 
8
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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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9
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If (n + 2)! = 2550 (n!); find ’n’
Solution 
10
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The number of circles that can be drawn out of 10 points of which 7 are collinear is
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