Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 6 1 pts find the number of distinguishable permutations of the…

Question

question 6
1 pts
find the number of distinguishable permutations of the letters in the word: triangle

Explanation:

Step1: Count total letters

The word "TRIANGLE" has 8 letters, so the total number of permutations of 8 distinct objects would be 8! if all letters were distinct. But there are no repeated letters.
8! = 8×7×6×5×4×3×2×1

Step2: Calculate the value

8×7×6×5×4×3×2×1 = 40320

Answer:

40320