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Question above. I'm really not sure how to proceed.

$15$ students collected $100$ flowers. Prove that at least two of them have collected the same number of flowers.

Lion Heart
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    Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or closed. To prevent that, please [edit] the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers. – José Carlos Santos Oct 20 '20 at 09:54

1 Answers1

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Let's say each one of them collected different number of flowers. In that case total number of flowers must be at least

$$0+1+2+3+...+14=105$$

And now $105>100$

It shows at least two of them collected same number of flowers.

Or

if everyone is collected at least one flower then

$$1+2+3+...+15=120$$

And now $120>100$

Lion Heart
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    "In that case total number of flowers must be" should read "In that case total number of flowers must be at least" – peter.petrov Oct 20 '20 at 10:08