ParthKohli
Challenge: When @lgbasallote left OpenStudy, he left us with 44 theoretical dollars. Nine users fight over the money. Lord @shadowfiend decides that all the people will get a distinct amount of money based on a lottery and it must be a natural number. In how many ways can we distribute this money amongst these 9 users?
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sauravshakya
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a+b+c+d+e+f+g+h+i=44
where a,b,c,d,e,f,g,h,i are distinct whole numbers
sauravshakya
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4
we need to find No. of solutions?
ParthKohli
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Yesh.
sauravshakya
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4
0
ParthKohli
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Nailed it: I couldn't think of a better problem. -_-
ParthKohli
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And why?
sauravshakya
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Minimum sum of nine distinct whole number =45
ParthKohli
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Wow, perfect.
ParthKohli
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It was so easy that even my teacup said "zero, you dumbo!"
agent0smith
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Easier than it seemed at first... 1+2+3+4...+9 = $45
harsh314
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no i think if we are seeing whole no.s we should include a zero
harsh314
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am i right or wrong someone plz tell.
harsh314
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plz @ParthKohli replyy
harsh314
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W H Y????????????
ParthKohli
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Fixed, sorry
harsh314
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i did'nt follow it plz explain the previous comment
harsh314
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@sauravshakya
sauravshakya
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Oh sorry I should have said natural numbers
sauravshakya
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because all the people gets distinct amount of money
harsh314
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ok i got it in the question there is natural numbers sorry ............at last
sauravshakya
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4
Another question
If 0 was included then how many ways?
ParthKohli
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Then we actually have 8 people to give money to in natural numbers :-D
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
So there are some ways.
sauravshakya
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4
0+2+3+4+5+6+7+8+9=44
So, 9! ways
ParthKohli
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Yeah.
harsh314
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no in this case i think it can also be 0+1+2+3+4+5+6+7+16 we have to work out a hectic solution
harsh314
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@ParthKohli
harsh314
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@sauravshakya
harsh314
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am i right
harsh314
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but still a salute to your knowledge u people are too knowledgeous
sauravshakya
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u r very correct
harsh314
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i just mentioned 1 possibility it wud be kind enough if u two plz work out the solution and frankly speaking i don't so much calculations thanks
sauravshakya
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4
0+2+3+4+5+6+7+8+9
0+1+3+4+5+6+7+8+10
0+1+2+4+5+6+7+8+11
0+1+2+3+5+6+7+8+12
0+1+2+3+4+6+7+8+13
0+1+2+3+4+5+7+8+14
0+1+2+3+4+5+6+8+15
0+1+2+3+4+5+6+7+16
So,
8*9!