Rachel is arranging 12 cans of food in a row on a shelf. She has 8 cans of beets, 3 cans of corn, and 1 can of beans. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

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