In how many different orders can you line up 8 cards on a shelf?
1 Answer
Mar 5, 2018
Explanation:
Given: 8 cards on a shelf
In the 1st spot you can have up to 8 different cards.
The 2nd spot can only have 7 since a card is already in the 1st spot.
The 3rd spot can only have 6 since a card is already in the 1st spot and the 2nd spot.
The 4th spot can have 5 different cards
The 5th spot can have 4 different cards
The 6th spot can have 3 different cards
The 7th spot can have 2 different cards
The 8th spot can have 1 card
The number of different arrangements: