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
3500
1875
1750
3000
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1
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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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2
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If C(n, 7) = C(n, 5), find n
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3
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In how many ways can 10 people line up at a ticket window of a railway station?
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4
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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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5
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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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6
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Find the probability that a leap year selected at random will contain 53 Sundays
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7
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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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8
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How many four-digit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
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9
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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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10
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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