The number of circles that can be drawn out of 10 points of which 7 are collinear is
130
85
45
72
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1
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A polygon has 44 diagonals. What is the number of its sides?
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2
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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3
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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4
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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5
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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6
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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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7
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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8
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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9
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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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10
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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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