In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
1/10
2/5
2/7
5/7
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1
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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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2
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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3
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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4
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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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5
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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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6
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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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7
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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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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 'CORPORATION' be arranged so that the vowels always come together?
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10
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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