A band knows how to play 10 different songs. How many different 2-song set lists could the band perform at their next concert?

Question

A band knows how to play 10 different songs. How many different 2-song set lists could the band perform at their next concert?
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Solution 1

This is a problem of combinations. The band has 10 songs and they want to choose 2, the order doesn't matter (playing song A then song B is the same as playing song B then song A).

The formula for combinations is:

C(n, k) = n! / [k!(n-k)!]

where:

  • n is the total number of options,
  • k is the num 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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