Algebra and Trigonometry 10th Edition

True. In fact, the formula $n!$ for the number of permutations is obtained from the Fundamental Counting Principle.
First choice: $n$ possibilities. Second choice: $n-1$ possibilities. Third choice: $n-2$ possibilities. ... Last choice: 1 possibility. Total permutations: $n\times(n-1)\times(n-2)\times...\times1=n!$