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Ten different letters of an alphabet are given. Four-lettered words are formed using these given letters. Then, the number of words which have at least one letter repeated is
    Correct answer is '4960'. Can you explain this answer?
    Most Upvoted Answer
    Ten different letters of an alphabet are given. Four-lettered words a...
    Number of words which have at least one letter repeated = Total number of words formed - Total number of words in which no letter is repeated
    = 104 - 10P4 = 10000 − 5040 = 4960
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    Ten different letters of an alphabet are given. Four-lettered words a...
    Explanation:

    Given Information:
    - 10 different letters of an alphabet are given.
    - Four-lettered words are formed using these given letters.

    Calculating the number of words:
    - The total number of ways to form a four-letter word using 10 different letters is 10P4 = 10! / (10-4)! = 10 x 9 x 8 x 7 = 5040.

    Calculating the number of words with at least one letter repeated:
    - To find the number of words with at least one letter repeated, we can first calculate the number of words with all letters distinct.
    - The number of ways to form a four-letter word with all distinct letters is 10P4 = 5040.
    - Therefore, the number of words with at least one letter repeated is 5040 - 504 = 4960.

    Final Answer:
    - The number of words which have at least one letter repeated is 4960.
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    Ten different letters of an alphabet are given. Four-lettered words are formed using these given letters. Then, the number of words which have at least one letter repeated isCorrect answer is '4960'. Can you explain this answer?
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