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12 February, 19:15

Ann is shopping and has found 6 coats and 6 hats that she likes. (a) If Ann decides to buy one coat and one hat, how many different options does she have for which items she will buy

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  1. 12 February, 19:34
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    Ann will have 36 different options

    Explanation:2

    This can be solved using combination.

    nCr = n! / (n-r) ! * r!

    To buy one coat out of 6 coats, Ann has; 6C1 options.

    6Ç1 = 6! / (6-1) ! * 1! = 6 options

    To buy one hat out of 6 hats, Ann has; 6C1 options

    6C1 = 6 options

    If Ann decides to buy one coat and one hat, from 6 coats and 6 hats;

    Number of options = 6C1 * 6C1 = 6*6 = 36 options.

    Therefore, Ann has 36 different options.
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