You have n distinct items. To arrange them in a line:
Pick the first item: n choices
Pick the second: n-1 choices remain
Pick the third: n-2 choices
Continue until 1 choice is left
Multiply: n × (n-1) × (n-2) × ... × 1 = n!
(Multiplying choices)
You have n distinct items. To arrange them in a line:
Pick the first item: n choices
Pick the second: n-1 choices remain
Pick the third: n-2 choices
Continue until 1 choice is left
Multiply: n × (n-1) × (n-2) × ... × 1 = n!