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?
7! / 1! 2! 3!
7!
7! / 3
7! / 3!
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1
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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2
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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3
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If C(n, 7) = C(n, 5), find n
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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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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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6
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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7
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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8
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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9
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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10
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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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