Question

In the canteen you can choose from 4 types of soups, 6 types of main dish and 3 types of desserts. In how many ways can one choose a portion of at least one meal and contains no more than one soup, no more than one main dish and no more than one dessert?

Answer 1

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$\mathbf{\underline{given}}$

• 4 soup , 6 main dish , 3 desert
• total number of selection = 13

$\mathbf{\underline{condition \: of \: question}}$

• leats any one 1 item from all 13
• but not more than any 1 perticular dish

☞ it means selection made with ,

• 13 out of 1 = 13
• soup and main dish = 4×6 = 24
• main dish and desert = 6×3 = 18
• desert and soup = 4×3 = 12
• each 1 from all three = 4×6×3 = 72

☞ Number of way

• 13+24+18+12+72 = 139

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