A, B, C, and D are four points, any three of which are noncollinear. 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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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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2
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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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3
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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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4
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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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5
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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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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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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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8
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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9
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Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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10
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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