12. Sam's Diner breakfast special: 1 juice (orange, grapefruit), 1 bagel (onion, garlic, sesame, plain), 1 fruit (apple, pear, plum). Total possible selections?
Answer: C
The total possible selections for Sam's Diner breakfast special is 24.
Sam's Diner breakfast special offers a combination of choices: 2 types of juice, 4 types of bagels, and 3 types of fruit. To find the total number of selections, we multiply the number of choices for each category: 2 (juices) x 4 (bagels) x 3 (fruits) = 24 possible selections.
A) 9
Option A is incorrect because it underestimates the total combinations. It only considers a limited selection of the options available and fails to account for the correct multiplication of choices across all categories.
B) 12
Option B is incorrect as well, as it does not align with the complete calculation of combinations. It might suggest a misunderstanding of how to combine the choices, as the correct method yields a higher number.
C) 24
Option C is correct. By multiplying the number of choices from each category (2 juices x 4 bagels x 3 fruits), we accurately arrive at the total of 24 selections, reflecting all possible combinations available for the breakfast special.
D) 36
Option D is incorrect because it overestimates the total combinations. This number may suggest an additional misunderstanding of the multiplication of options, as it does not accurately represent the available choices provided in the problem.
Conclusion
The correct answer is 24, as derived from the multiplication of the available choices in each category. Each option was carefully evaluated, and it becomes clear that options A, B, and D do not reflect the accurate total selections based on the given combinations. Thus, option C stands out as the only valid and mathematically sound answer.