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25 February, 14:39

In order to develop a more appealing cheeseburger, a franchise uses taste tests with 15 different buns, 8 different cheeses, 3 types of lettuce, and 4 types of tomatoes. If the taste tests were done at one restaurant by one tester who takes 10 minutes to eat each cheeseburger, approximately how long would it take the tester to eat all possible cheeseburgers?

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  1. 25 February, 17:28
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    There would be

    13 x 8 x 4 x 3 = 3,276 different cheeseburger combinations

    If the taste tester takes 10 minutes to eat a cheeseburger, then it would take him

    3276 x 10 = 32760 minutes

    Eating round the clock, it would take him

    32760 / 60 = 546 hours

    546 / 24 = 22 days 18 hours

    Now these are the numbers I'm seeing

    1313 buns

    88 cheese

    44 lettuces

    33 tomatoes

    There would be

    1313 x 88 x 44 x 33 = 167,769,888 different cheeseburger combinations

    If the taste tester takes 10 minutes to eat a cheeseburger, then it would take him

    167769888 x 10 = 1,677,698,880 minutes

    1677698880 / 60 = 27,961,647 hours

    27961647 / 24 = 1,165,068.62 days

    1165068.62 / 365 = 3,191.97 years
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