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Omni-MATH / If n is a positive integer, the notation n! (read " n factorial") is used to represent the product of the integers from 1 to n. That is, n!=n(n−1)(n−2)⋯(3)(2)(1). For example, …

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problem

If nn is a positive integer, the notation nn! (read " nn factorial") is used to represent the product of the integers from 1 to nn. That is, n!=n(n−1)(n−2)⋯(3)(2)(1)n!=n(n-1)(n-2) \cdots(3)(2)(1). For example, 4!=4(3)(2)(1)=244!=4(3)(2)(1)=24 and 1!=11!=1. If aa and bb are positive integers with b>ab>a, what is the ones (units) digit of b!−ab!-a! that cannot be?
Plain-text mathematical notation (without MathML)
If n is a positive integer, the notation n! (read " n factorial") is used to represent the product of the integers from 1 to n. That is, n!=n(n−1)(n−2)⋯(3)(2)(1). For example, 4!=4(3)(2)(1)=24 and 1!=1. If a and b are positive integers with b>a, what is the ones (units) digit of b!−a! that cannot be?
Original LaTeX notation
If $n$ is a positive integer, the notation $n$! (read " $n$ factorial") is used to represent the product of the integers from 1 to $n$. That is, $n!=n(n-1)(n-2) \cdots(3)(2)(1)$. For example, $4!=4(3)(2)(1)=24$ and $1!=1$. If $a$ and $b$ are positive integers with $b>a$, what is the ones (units) digit of $b!-a$! that cannot be?

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Source and history

task_id
105fc099-33f7-58d7-aa75-29c5b2136840
task_key
test--105fc099-33f7-58d7-aa75-29c5b2136840
task_revision_id
1
config / split
/ test

Official source

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