If 18Cr = 18Cr+2 ; find rC5.
56
63
49
42
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1
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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2
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Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
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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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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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5
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A polygon has 44 diagonals. What is the number of its sides?
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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 probability of getting at least one six in a single throw of three unbiased dice?s
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8
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If (n + 2)! = 2550 (n!); find ’n’
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9
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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10
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A five-letter 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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