Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words.How many ways can the letters of RTLIOSN be arranged? What is the correct unscrambling of RTLIOSN?B. STRONILD. TRILONS A. NOSTRILC. NILTORSWhat is the probability of coming up with the correct unscrambling through random letter selection? (Type an integer or simplified fraction as needed.)
Question
Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words.How many ways can the letters of RTLIOSN be arranged? What is the correct unscrambling of RTLIOSN?B. STRONILD. TRILONS A. NOSTRILC. NILTORSWhat is the probability of coming up with the correct unscrambling through random letter selection? (Type an integer or simplified fraction as needed.)
Solution
The number of ways the letters of RTLIOSN can be arranged is calculated by finding the factorial of the number of letters. Since there are 7 letters, the number of arrangements is 7! (7 factorial), which equals 5,040.
The correct unscrambling of RTLIOSN is A. NOSTRIL.
The probability of coming up with the correct unscrambling through random letter selection is 1 out of the total number of possible arrangements. So, the probability is 1/5040, which simplifies to approximately 0.0001984.
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