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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: find the number of positive integral solutions of the equation x1x2x3x4x5 = 1050
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Greatdreams (3220)

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Olaaa!! Perrrfect answer. 612  [692 rates]

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1050 = 2 * 3 * 5 * 5 * 7

Now we have been given x1 , x2 , x3 , x4 , x5

now 2 or 3 or 7 , so number of ways = 5  3 ways

So we have 5 to deal with

Now we can have 2 * 3 * 7 * 25 * 1 or 2 * 3 * 7 * 5 * 5

So number of ways of arranging the 5 s are 5 C1 + 5 C2 = 15

So total number of ways = 5 3 * 15 = 125 * 15 = 1875

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