The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
185
175
115
105
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1
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
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2
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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3
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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4
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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5
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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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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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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8
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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9
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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10
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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