Question

4. A test has 10 true or false questions. When Rachelle takes the test she answers all 10 questions, circling T or F for each question. In how many different ways could Rachelle choose answers? 10! A: 102 C: 10 x 2 ID: 8 E : 21 B: 210 5. Pat has made sandwiches for his 3 children to take in their school lunches, and asks each child which kind of fruit they would like for lunch: an apple, an orange or a banana. In how many different ways could Pat's 3 children each choose one kind of fruit, but not all choose the same kind? A: 33 – 3 B: 33 – 1 C: 31 D: 3×3×1 E: 3x3x2

Answer 1

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Şolve - Each question can be answered in 2 different Ways either true or false, and the answer of one question does not effect on the answer of the another question. So, the number of different ways that lo questions con be answered is 2x2x... X 2 (lotimes) = 210 Sohen we have I choices for the first child - 3 choices for second child and only 2 choice for third child as all cannot choose the same kind. Thus the number of different ways = 3X3 X 2