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65) Consider the set A = {1,2,3,..., 30). The number of ways in which one can choose threedistinct numbers from A so that the product of the chosen numbers is divisible by isA) 1590B) 1505C) 1110D) 1025 |
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AnswerΒ» 1505 is the best answer 1505 is the correct answer me There are 10 numbers divisible by 3 viz. 3, 6, 9, 12 ... 30. Case I : we have 2 of these 10 and one from remaining 20 10C2 X 20C1 = 900 Case II: we have all 3 numbers coming from these 10 10C3 = 120 Case III: Out of these 10, - (9, 18 and 27) are divisible by 9. We take only 1 number from these 3 and other 2 come from remaining 20 3c1 X 20C2 = 570 Total 900 + 120 + 570 = 1590 hence A is correct answer 1505 is my answer πππ how minny pisos did lebch get 1505 is right answer you question |
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