Integer Partitions

I found an interesting question based on integer partitions with limits.

At a shooting competition, a man can get 0,1,2,3,4,5 points for each shot. He shoots 7 times. Find the total number of ways of getting 10 points overall.

#HelpMe! #MathProblem #Math

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Isn't anyone going to try solving it and get the correct answer? xD

Rohan Rao - 8 years, 3 months ago

is scoring 1,1,2,1,1,1,0 the same as 2,1,1,1,0,1 ??

Soham Chanda - 8 years, 3 months ago

No they are different, since this question requires the total number of possible different sets.

Rohan Rao - 8 years, 3 months ago

6538(using integral equation) i am not sure about the answer but i m sure that the method is right.

Jatin Yadav - 8 years, 3 months ago

Congrats! Your answer is right! Could you please elaborate on your method for my benefit? I didn't understand what you mean by Integral Equation. Thanks!

Rohan Rao - 8 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$