A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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1
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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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2
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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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3
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A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
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4
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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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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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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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7
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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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8
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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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9
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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10
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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