Answer: 411840
Step-by-step explanation:
As we have to count the number of ways in which all 4 cards have different face value and all 4 cards are from different suit. We have 52 cards in the beginning. When we choose a card from suit 'A' then we can not pick the same suit nor the same face value which means 13 cards of the same suit and 3 cards of the remaining suits with same face value.
calculation:
52*(52-13-3)*(52-13-3-12-2)*(52-13-3-12-2-11-1)
=52*36*22*10
=411840
