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12 Nov 2024, 03:06
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No Topping: 1
All Three Toppings: 3
Four friends, Anna, Boris, Clara, and Daniel, each ordered a vanilla ice cream cone. The vendor offered them the option to add sprinkles, chocolate sauce, or a cherry on top. Three friends chose sprinkles, three chose chocolate sauce, and three chose a cherry. The friend who skipped the sprinkles also skipped chocolate sauce, and the friend who skipped chocolate sauce also skipped the cherry.
Select for No Topping the number of friends who skipped all three toppings, and select for All Three Toppings the number of friends who chose all three toppings. Make only two selections, one in each column.
Select for No Topping the number of friends who skipped all three toppings, and select for All Three Toppings the number of friends who chose all three toppings. Make only two selections, one in each column.
| No Topping | All Three Toppings | |
| 0 | ||
| 1 | ||
| 2 | ||
| 3 | ||
| 4 |
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Official Answer
No Topping: 1
All Three Toppings: 3
12 Nov 2024, 03:06
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Official Solution:
Say Anna skipped sprinkles and chocolate sauce. If a different friend skipped chocolate sauce and cherry, then two friends would have skipped chocolate sauce, leaving only the remaining two to have added it. However, we know that three friends chose chocolate sauce. Therefore, the same person must have skipped all three toppings. As a result, the remaining three friends each added all three toppings.
Correct answer:
No Topping "1"
All Three Toppings "3"
Bunuel
Say Anna skipped sprinkles and chocolate sauce. If a different friend skipped chocolate sauce and cherry, then two friends would have skipped chocolate sauce, leaving only the remaining two to have added it. However, we know that three friends chose chocolate sauce. Therefore, the same person must have skipped all three toppings. As a result, the remaining three friends each added all three toppings.
Correct answer:
No Topping "1"
All Three Toppings "3"
23 Nov 2024, 06:36
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I have revised the question, solution, and formatting by adding more details to enhance clarity.
