A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
32
64
128
None Of These
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1
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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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2
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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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3
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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4
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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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5
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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6
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The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
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7
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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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8
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In a single throw with four dice,the probability of throwing seven is
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9
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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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10
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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