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How many distinct four-digit numbers can be formed using the digits 1, 2, 3, and 4 without repetition?

Mathematics

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7) To find the number of ways the digits 1, 2, 3, and 4 can be arranged to form a four-digit number, we calculate the permutations of 4 distinct items.

  1. Identify the number of distinct digits.

    There are 4 distinct digits: 1, 2, 3, 4.

  2. Calculate the factorial of the number of digits.

    Number of ways=4!=4×3×2×1=24\text{Number of ways} = 4! = 4 \times 3 \times 2 \times 1 = 24

    The given answer is 24 ways.
    The answer is 24 ways\boxed{\text{24 ways}}.

    8) To find

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