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3 June, 03:03

You have to answer 2 questions for the exam. There are 7 essays to choose from. How many different groups of 2 essays could you possibly choose?

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  1. 3 June, 03:15
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    21

    Step-by-step explanation:

    Since the order of the essays isn't important, the number of ways you can choose 2 from 7 is:

    ₇C₂ = 7! / (2! (7-2) !)

    ₇C₂ = 7! / (2! 5!)

    ₇C₂ = 7*6*5! / (2*1 * 5!)

    ₇C₂ = 7*6 / 2

    ₇C₂ = 21
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