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2 November, 10:19

1. Timika is a counselor at a summer camp for young children. She wants to take 20 campers on a hike and wants to

choose a pair of students to lead the way. In how many ways can Timika choose this pair of children?

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  1. 2 November, 10:37
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    Answer: N = 20C2 = 190

    Therefore, Timika has 190 ways of choosing the pairs of children to lead the way

    Step-by-step explanation:

    Given;

    Total number of children = 20

    Number of children to lead the way = 2

    Since all the children have equal possibilities of being selected to lead the way, and for the order is not important.

    Then the number of ways to select two leaders from 20 children will be given by;

    N = 20C2 = 20!/2! (20-2) ! = 20!/2!18!

    N = 20 * 19/2

    N = 190

    Therefore, Timika has 190 ways of choosing the pairs of children to lead the way
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