- #1
diceyfume
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How many permutations can be made out of the letters of the word STATISTICS?
There are 10!/(3!2!2!) = 151,200 possible permutations of the letters in the word STATISTICS.
To calculate the number of permutations for a given word, you can use the formula n!/(n1!n2!...nk!), where n is the total number of letters and n1, n2, etc. are the number of occurrences of each distinct letter in the word.
Yes, permutations take into account the order of the elements, while combinations do not. For example, in the word STATISTICS, STI and ITS are considered different permutations, but they would be the same combination.
Yes, all letters in a word can be used in a permutation. The number of permutations will depend on the length of the word and the number of repeated letters.
If some letters are repeated in a word, the number of permutations will decrease. This is because the repeated letters will result in duplicate permutations. The formula for calculating permutations takes into account the number of repeated letters to avoid counting duplicates.