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?

- ParthKohli

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- schrodinger

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- anonymous

a+b+c+d+e+f+g+h+i=44
where a,b,c,d,e,f,g,h,i are distinct whole numbers

- anonymous

we need to find No. of solutions?

- ParthKohli

Yesh.

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## More answers

- anonymous

0

- ParthKohli

Nailed it: I couldn't think of a better problem. -_-

- ParthKohli

And why?

- anonymous

Minimum sum of nine distinct whole number =45

- ParthKohli

Wow, perfect.

- ParthKohli

It was so easy that even my teacup said "zero, you dumbo!"

- agent0smith

Easier than it seemed at first... 1+2+3+4...+9 = $45

- anonymous

no i think if we are seeing whole no.s we should include a zero

- anonymous

am i right or wrong someone plz tell.

- anonymous

plz @ParthKohli replyy

- anonymous

W H Y????????????

- ParthKohli

Fixed, sorry

- anonymous

i did'nt follow it plz explain the previous comment

- anonymous

@sauravshakya

- anonymous

Oh sorry I should have said natural numbers

- anonymous

because all the people gets distinct amount of money

- anonymous

ok i got it in the question there is natural numbers sorry ............at last

- anonymous

Another question
If 0 was included then how many ways?

- ParthKohli

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.

- anonymous

0+2+3+4+5+6+7+8+9=44
So, 9! ways

- ParthKohli

Yeah.

- anonymous

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

- anonymous

@ParthKohli

- anonymous

@sauravshakya

- anonymous

am i right

- anonymous

but still a salute to your knowledge u people are too knowledgeous

- anonymous

u r very correct

- anonymous

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

- anonymous

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!

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