How many different 5-card hands with at least 3 hearts can be dealt from a standard deck of 52 cards?

Question

How many different 5-card hands with at least 3 hearts can be dealt from a standard deck of 52 cards?
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Solution 1

To solve this problem, we need to consider two cases: when there are exactly 3 hearts and when there are 4 or 5 hearts.

  1. Exactly 3 hearts: There are 13 hearts in a deck of 52 cards. The number of ways to choose 3 hearts from 13 is given by the combination formula "13 choose 3", which is C(13,3) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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