In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
72
96
132
144
None of these
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1
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A' | B'). P(B' | A') is equal to
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2
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How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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3
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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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4
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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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5
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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6
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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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7
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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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8
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In how many ways can the letters of the word 'LEADER' be arranged?
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9
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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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10
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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