Calcolo Combinatorio E Probabilita -italian Edi... Link

The beekeeper picked honey (not on the menu), the nun picked mushrooms, the clown picked pineapple (scandalous). All different.

Number of ways to choose 3 distinct customers in order: [ 20 \times 19 \times 18 = 6840 ] (This step doesn’t affect the probability of making a pizza because it’s always possible to pick toppings regardless of who they are. The only cancelling event is the card draw.)

Total possible ordered selections (without replacement from 20): (20 \times 19 \times 18 = 6840).

Enzo laughed. "Life is random, cara mia . But understanding the combinations helps you not fear the uncertainty." Calcolo combinatorio e probabilita -Italian Edi...

Enzo clapped. "A combinatorial probability with two stages!"

"I bet," Chiara whispered, "the chance they all pick different toppings is 72%."

Enzo winked. " Probabilità doesn’t guarantee, but it guides. Now, who wants a slice?" If you'd like, I can rewrite this as a or turn each problem into a clean combinatorial formula for your Italian edition book. Just let me know. The beekeeper picked honey (not on the menu),

"So most of the time," Marco laughed, "the pizza is a mix of three distinct flavors!" That night, a boy named Luca asked the most curious question: "What if you drew the names without replacement from a total of 20 customers, but then the three chosen still pick toppings with repetition? And also, before picking toppings, you shuffle a deck of 40 Scoppia cards (Italian regional cards: four suits, numbered 1 to 10). If the first card is a '1' of any suit, you cancel the pizza game. If not, you proceed. What’s the chance we actually make a pizza?"

The catch? The three chosen customers would pick , and the same topping could be chosen more than once. Enzo would then combine their choices into one bizarre, three-topping pizza. The First Mystery One rainy evening, a young data scientist named Chiara sat at the counter.

[ \frac{720}{1000} = 0.72 \quad (72%) ]

Enzo nodded. "It happened once. A trio of truffle enthusiasts. The pizza was… intense." A burly farmer named Marco asked, "What about the chance that all three toppings are different?"

Enzo’s eyes sparkled. "Now that is combinatorics with constraints ."

"Now that’s combinations without repetition for the selection, but with permutations for the picking order," Enzo explained. The only cancelling event is the card draw