Randomly permute the letters in YALE. what is the probability that the result is still YALE

There are 4 distinct letters in the word YALE. To find the total number of possible permutations, we use the formula for permutations of distinct objects: Total permutations = 4! 4! = 4 × 3 × 2 × 1 = 24 Now, let's count the favorable outcomes, where YALE remains unchanged. There is only one way to arrange the letters in YALE to spell YALE itself, which is YALE. So, the probability of randomly permuting the letters in YALE and getting YALE as the result is: Probability = (Number of favorable outcomes) / (Total permutations) = 1 / 24 ≈ 0.0417 or approximately 4.17%.