CMC - Problem 7

Problem 7. (3 points) The IPhOO has an ongoing Facebook competition where anyone at any time can answer with a chance to win points. A correct answer to a problem gets the full number of points the problem offers. The first 6 problems were worth the following number of points each:

1 point
3 points
4 points
7 points
9 points
3 points (note that this is an inaccurate statistic in real life, but assume it to be true for this problem)

Assuming people are indistinguishable, how many different possible outcomes are there? Note that an outcome is a set of people each having a positive number of points.

#Combinatorics #CMC #Competitions #MathProblem #Math

Easy Math Editor

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Comments

"The first 5 problems" should be "the first 6 problems?"

Michael Tang - 7 years, 6 months ago

How do you expect me to know how to count???

Cody Johnson - 7 years, 6 months ago

You should edit your OP.

Ahaan Rungta - 7 years, 6 months ago

Is having a score of zero not included?

John Ashley Capellan - 7 years, 6 months ago

Every problem was solved. If you didn't solve any, then you're not included in the results.

Cody Johnson - 7 years, 6 months ago

I mean in the problem... in the contest, is it possible for a person to have a score of zero?

John Ashley Capellan - 7 years, 6 months ago

@John Ashley Capellan – See that each person must have a positive number of points.

Bob Krueger - 7 years, 6 months ago

@John Ashley Capellan – That's what I was talking about. Every problem was solved in the IPhOO Facebook contest was solved. If you didn't solve any IPhOO Facebook contest problems, then you're not included in the results.

Cody Johnson - 7 years, 6 months ago

Sanjay Banerji - 7 years, 6 months ago

The correct answer was 98. Whoever posts their solution will get the full 3 points.

Cody Johnson - 7 years, 6 months ago

If you also include the different questions answered as part of the calculation , then you should mention that in the question.

All I understood from the question was that only the final marks is to be considered irrespective of whether one can get that by answering two questions or get the same by answering one ...

Sanjay Banerji - 7 years, 6 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}`	$\boxed{123}$