There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
8! / 3!
8! / 6!
5! x 3!
8! / (5! x 3!)
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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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2
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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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3
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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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4
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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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5
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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6
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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7
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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8
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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?
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9
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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10
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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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