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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How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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10
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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?
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2
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Find the probability that a leap year selected at random will contain 53 Sundays
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3
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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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4
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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5
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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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6
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If C(n, 7) = C(n, 5), find n
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7
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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8
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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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9
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If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
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