How 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
How many meaningful four-letter English words can be formed with the letters TPSI using each letter only once in each word?
Options
- One
- Three
- More than four
- Four
- Two
Solution
To find the number of meaningful four-letter English words that can be formed with the letters TPSI, we can follow these steps:
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 choices for the first letter. Since we have four letters available, we can choose any of them as the first letter. So, there are four choices for the first letter.
Step 3: Determine the number of choices for the second letter. After choosing the first letter, we have three letters remaining. So, there are three choices for the second letter.
Step 4: Determine the number of choices for the third letter. After choosing the first and second letters, we have two letters remaining. So, there are two choices for the third letter.
Step 5: Determine the number of choices for the fourth letter. After choosing the first, second, and third letters, we have only one letter remaining. So, there is only one choice for the fourth letter.
Step 6: Multiply the number of choices for each letter. To find the total number of possible words, we multiply the number of choices for each letter: 4 choices for the first letter × 3 choices for the second letter × 2 choices for the third letter × 1 choice for the fourth letter.
Step 7: Calculate the total number of words. By multiplying the choices for each letter, we get 4 × 3 × 2 × 1 = 24.
Therefore, there are 24 meaningful four-letter English words that can be formed with the letters TPSI, using each letter only once.
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