In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
120
720
4320
2160
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1
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In how many ways can the letters of the word 'LEADER' be arranged?
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2
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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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3
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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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4
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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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5
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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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6
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Solution |
7
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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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8
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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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9
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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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10
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How many rectangles can be formed out of a chess board ?
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