If (n + 2)! = 2550 (n!); find ’n’
49
35
38
43
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1
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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2
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How many four-digit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
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3
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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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4
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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5
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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6
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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7
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If C(n, 7) = C(n, 5), find n
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8
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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9
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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10
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A polygon has 44 diagonals. What is the number of its sides?
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