A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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1
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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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2
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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3
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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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4
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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5
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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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6
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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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7
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In how many ways can the letters of the word 'LEADER' be arranged?
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8
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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9
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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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10
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If 18Cr = 18Cr+2 ; find rC5.
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