Homework: 8.1 Save Score: 0 of 1 pt 9 of 9 (9 complete) HW Score: 88.89%, 8 of 9
ID: 3181798 • Letter: H
Question
Homework: 8.1 Save Score: 0 of 1 pt 9 of 9 (9 complete) HW Score: 88.89%, 8 of 9 pts X Gen Interest 8.1.53 EQuestion Help A game consists of asking 24 questions to determine a person, place, or thing that the other person is thinking of. The first question, which is always "ls it an animal, vegetable, or mineral?", has three possible answers. All other questions must be answered "Yes" or "No." How many possible objects can be distinguished in this game, assuming that all 24 questions are asked? Are 24 questions enough? Select the correct answer below and fill in the answer box to complete your choice (Type a whole number.) O A. The number of possible objects that can be distinguished is Since the number of possible objects a person can think of is greater than this amount, 24 questions is not enough to distinguish all possible objects O B. The number of possible objects that can be distinguished is Since the number of possible objects a person can think of is less than or equal to this amount, 24 questions is enough to distinguish all possible objects.Explanation / Answer
Solution:
Given the game consists of asking 24 questions to determine a person, place, or thing that the other person is thinking of. The first question, which is always "Is it an animal, vegetable, or mineral?", has three possible answers. All other questions must be answered "Yes" or "No."
There are 3 possible answers for the first question and 2 possible answers for each of the 19 other questions. The number of possible objects that can be answered in this game is
3. 2^23 = 25,165,824
A. The number of possible objects that can be distinguished is 25,165,824. Since the number of possible objects a person can think of is greater than this amount, 24 questions is not enough to distinguish all possible objects.
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