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![[Post New]](/templates/default/images/icon_minipost_new.gif) 29 Jun 2007 23:16:50 IST
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give an approach 2 find the no. of +ve integral sol. of abcde=45321
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gaurav
Let difficulties know that u r more difficult
ONE GOOD REASON WHY A MAN SUD GET MARRIED?
He doesnot then have to blame everything on the govt.
The trouble being punctual abt a work is dat dere is no one to notice it |
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30 Jun 2007 22:34:45 IST
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find the LCM of 45321.....
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Keep working....................Iam comming..
your's only,
Success!! |
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1 Jul 2007 02:31:12 IST
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Are you sure the sum is right? Anyway, this is how you proceed :
By prime factorization, you get 45321 = 15107 x 3 (Let me know if there are any prime factors of 15107 itself)
Now, abcde can take any of these values each.. that is the solution can be:
15107x3x1x1x1, 15107x1x1x1x3, etc etc...
So this is a permutation problem now. The number of ways to arrange the 2 numbers 15107 and 3 among the five variables, abcde.
This is 5!/3! = 20 ways.
But the solution can also be like (15107x3), 1, 1, 1, 1.
So total no of ways are 20+5! = 20+120 = 140 ways, ie, 140 positive integral solutions.
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Will nip in at times to solve problems :)
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