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cure I https//www.mathw ework.aspx?homeworkld 4738 onld 328flushed true&cld; 4858204&centerwinayes; ATH 1025 Jessica wibanks&I; 2/6/18 :10 omework: Homework 3 (Read 3.1 to 3.4) ore: 0 of 1 pt HWScore: 87%, 43 5 of 50 3.4.29 Question rep consurne an average of 3000 calories per day one meal normally conaktsof a main dsh, a vegetable dsh and two aeet desserts The astona can doose tom 10 dishes, and 13 desserts How many different meals ae possible? The number of diferent meals poss ble is

Explanation / Answer

Please note nCx = n! / [(n-x)!*x!]

From 10 main dishes, choose 1 in 10C1 = 10 ways, from 9 vegetable dishes, choose 1 in 9C1 = 9 ways and from from 13 desserts choose 2 in 13C2 = 78 ways.

Therefore total number of different meals possible = 10 x 9 x 78 = 7020

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