A vote to elect the class president is being held in a classroom with \(8\) students. There are \(3\) nominees, who do not get to vote. If the vote is a secret vote, i.e. the people do not know who voted for whom, what is the number of possible vote count results?

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Consider the two sets \(A=\{1,2,3,4\}\) and \(B=\{5,6,7,8\}.\) How many possible functions \(f:A\rightarrow B\) are there such that if \(i<j\) then \(f(i)\le f(j)?\)

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Calvin took a trip to the store to purchase some lightbulbs. His choices at the store were \(25W, 40W, 60W, \mbox{ and } 100W\) lightbulbs. If Calvin purchased \(13\) lightbulbs, how many different combinations of bulbs could he have purchased?

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A vote to elect the class president is being held in a classroom with \(10\) students. There are \(3\) nominees, who do not get to vote. If the vote is a secret vote, i.e. the people do not know who voted for whom, what is the number of possible vote count results?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

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examples, and problems from the community.

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including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!