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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In a single throw with four dice,the probability of throwing seven is
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2
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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3
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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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4
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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5
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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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6
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A polygon has 44 diagonals. What is the number of its sides?
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7
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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8
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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9
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If (n + 2)! = 2550 (n!); find ’n’
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10
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A fiveletter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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