Santa’s elves make bunting spelling the words MERRY CHRISTMAS out of triangles of fabric with one letter on each. They use red, green and gold fabric for the letters. A string of bunting must have all the triangles different. How many different ways can the bunting be made?
| Letter | M | E | R | R | Y | C | H | R | I | S | T | M | A | S |
| Choices | 3 | 3 | 3 | 2 | 3 | 3 | 3 | 1 | 3 | 3 | 3 | 2 | 3 | 2 |
So \(3^{10} \times 2^{3} \times 1 = 472392\)