Question

For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false quiz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3- ​

Answer 1

9514 1404 393

Answer:

1. tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff
2. 840
3. 84
4. 504

Step-by-step explanation:

1. The sample space is all 16 possible sequences of T or F of length 4:

  tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff

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2. The number of possibilities is the product of the numbers of choices at each stage:

  5 × 7 × 4 × 6 = 840 . . . different meals

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3. 9C3 = 9!/(3!·6!) = 84

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4. 9P3 = 9!/6! = 504