Select the correct answerHow many meaningful four-letter English words can be formed with the letters TPSI using each letter only once in each word?OptionsTwoOneMore than fourThreeFour
Question
Select the correct answerHow many meaningful four-letter English words can be formed with the letters TPSI using each letter only once in each word?OptionsTwoOneMore than fourThreeFour
Solution
To find the number of meaningful four-letter English words that can be formed with the letters TPSI, we can use the concept of permutations.
Step 1: Count the number of available letters. In this case, we have four letters: T, P, S, and I.
Step 2: Determine the number of ways to arrange these four letters in a four-letter word. Since each letter can only be used once in each word, we can use the formula for permutations of distinct objects. The formula is n! / (n - r)!, where n is the total number of objects and r is the number of objects to be arranged.
In this case, n = 4 (number of available letters) and r = 4 (number of letters in each word). So, the number of arrangements is 4! / (4 - 4)! = 4! / 0! = 4! = 4 x 3 x 2 x 1 = 24.
Step 3: Determine the number of meaningful English words that can be formed using these arrangements. To do this, we need to check if each arrangement is a valid English word.
In this case, we can see that there are two meaningful English words that can be formed: "tips" and "spit".
Therefore, the correct answer is Two.
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