I08-06

Question

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.

Bunuel · Answer

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 · Answer

I have revised the question, solution, and formatting by adding more details to enhance clarity.

PriyankaSinghCh · Answer

I like the solution - it’s helpful. na

miag · Answer

Hi Bunuel , do you have any compilation of more such questions - this didnt strike me immediately, so was hoping to practice a bit more so that it becomes a bit more intuitive...thank you!

Bunuel · Answer

For now, I don’t have a compilation like that, but I’ll keep it in mind.

harsh66 · Answer

I like the solution - it’s helpful.

prepapr · Answer

I like the solution - it’s helpful.

BongBideshini · Answer

Sprinkles 
 Chocolates 
 cherry 
 
  A

B

C

D

3 
 3 
 3

Let's say C did not choose Sprinkles

Sprinkles 
 Chocolates 
 Cherry 
 
  A 
 1 
 1 
 1 
 
  B 
 1 
 1 
 1 
 
  C 
 0 
 0 
 0 
 
  D 
 1 
 1 
 1

3 
 3 
 3

No topping = 1 friend
All three topping = 3 friends

I08-06

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