dictinct object or letters- It implies that each object or letters differs in some way from the every other object or letters in the set
Ex.
Banana=B,a,n distinct letters
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The number of distinct arrangements of the letters of the word BOXING is the same as the number of permutations of 6 things taken 6 at a time. This is 6 factorial, which is 720. Since there are no duplicated letters in the word, there is no need to divide by any factor.
In how many distinct ways can the letters of the word MEDDLES be arranged?
Since all letters are distinct, there are 120.1x2x3x4x5=120, not 5. CHINA=5 letters. So do the same formula (1x2x3x4x5) but the answer is 120.
6 x 5 x 4 x 3 x 2/2 = 360 distinct ways