Multiple choice

Mr. Wills goes to a famous buffet restaurant, which serves 10 non-vegetarian dishes and 8 vegetarian dishes. If Mr. Wills wants to select 3 non-vegetarian dishes and 2 vegetarian dishes for his brunch, how many different possible combinations of dishes can he choose for his brunch?

  1. 3,360

  2. 3,240

  3. 3,150

  4. 2,860

  5. 2,580
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A Correct answer
Explanation

The number of ways to choose 3 non-veg dishes from 10 is 10C3 = 120. The number of ways to choose 2 veg dishes from 8 is 8C2 = 28. Total combinations = 120 * 28 = 3,360.

AI explanation

Use the combination formula to select the dishes from each category. The 3 non-vegetarian dishes can be selected from 10 in 10 C 3 ways, which equals 120. The 2 vegetarian dishes can be selected from 8 in 8 C 2 ways, which equals 28. The total number of combinations is 120 times 28, which equals 3360.

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