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Grade 11Algebra

Among the 8! permutations of the digits 1,2,3,.....8, consider those arrangements which have the following property:if you take any 5 consecutive positions , the product of the digits in those positions is divisible by 5.find the number of such arrangements?

Profile image of Rahul Ramesh
15 Years agoGrade 11
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1 Answer

Profile image of mycroft holmes
15 Years ago

Its obvious that the number 5 has to be in the 4th position or 5th position. The number of possible arrangements is therefore 7! X 2.