Abe is in a group with three other people. Each person randomly selects a card from a deck of 52 cards and ret

Question

Abe is in a group with three other people.  Each person randomly selects a card from a deck of 52 cards and returns it to the deck.  Using permutations, which of the following correctly shows how to find the probability of no two people selecting the same card?

GPT-5 mini · Answer

Number of favorable ordered selections = P(52,4) = 52·51·50·49.  
Total ordered selections = 52^4.

So the probability is P(52,4)/52^4 = (52·51·50·49)/52^4 (equivalently 51·50·49/52^3).

Abe is in a group with three other people. Each person randomly selects a card from a deck of 52 cards and returns it to the deck. Using permutations, which of the following correctly shows how to find the probability of no two people selecting the same card?

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