How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
496
728
486
1084
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1
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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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2
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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3
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A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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4
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If C(n, 7) = C(n, 5), find n
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5
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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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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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7
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If (n + 2)! = 2550 (n!); find ’n’
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8
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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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9
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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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10
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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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