Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
15 * 7!
20 * 8!
18 * 7!
(16 * 8! – 4! * 6!)
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1
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How many 3digit 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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2
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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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3
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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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4
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If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
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In how many ways can 10 people line up at a ticket window of a railway station?
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6
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
Solution 
7
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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?
Solution 
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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A polygon has 44 diagonals. What is the number of its sides?
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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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