Using arrangements of words, it is found that the statement is true.
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- Suppose a word has n letters.
- Considering that m of these letters are repeating, each
times.
- The number of distinct ways the word can be arranged is given by:
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- The word "sleeplessness" has 13 letters.
- s repeats 5 times.
- e repeats 4 times.
- l repeats 2 times.
Thus, the number of ways to arrange the letters is given by:
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- The word "senselessness" has 13 letters.
- s repeats 6 times.
- e repeats 4 times.
- n repeats 2 times.
Thus, the number of ways to arrange the letters is given by:
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Finding the ratio of to
:
Thus, since the ratio is 6, the statement is true.
A similar problem is given at brainly.com/question/16790460