college math

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A camper has 3 jackets, 6 sleeping bags, and 14 different packages of food. An "outfit" consists of 1 jacket, 1 sleeping bag, and 7 packets of food. How many different outfits are there?

  • college math -

    since order does not matter here, we are dealing with combinations rather than permutations.
    No. of outfits C(3,1)xC(6,1)xC(14,7)
    = 3x6x3432 = 61776

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