THERE ARE 6 PEOPLE IN A GARDENING CLUB. Each gardener orders seeds from a list of 11 different types of available seeds. What is the probability that at least 2 gardeners order the same type of seeds?

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asked by BETTY
  1. the first gardener can pick from 11 different seeds, the second can pick from 11 different seeds, etc
    (this allows the same seed being picked by more than one gardener)
    = 11^6 ways = 1771561

    number of ways where none are the same, (once picked, can't be picked again)
    = 11x10x9x8x7x6 =332640

    so the number where at least 2 are the same
    = 1771561 - 332640 = 1438921

    so prob(at least 2 the same) = 1438921/1771561 = .8122

    check my arithmetic, it is often quite lousy

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    posted by Reiny
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