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?OptionsOneThreeMore than fourFourTwo
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?OptionsOneThreeMore than fourFourTwo
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 4 letters: T, P, S, and I.
Step 2: Determine the number of ways to arrange these letters in a four-letter word. Since each letter can only be used once in each word, we can use the concept of permutations. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items and r is the number of items to be selected.
In this case, we have 4 letters and we want to arrange them in a four-letter word, so n = 4 and r = 4. Plugging these values into the formula, we get:
4P4 = 4! / (4 - 4)! = 4! / 0! = 4! / 1 = 4 x 3 x 2 x 1 = 24
Therefore, there are 24 meaningful four-letter English words that can be formed with the letters TPSI.
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