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2!=2×1=2\large 2! = 2\times 1= 2 2!=2×1=2 which is even.
3!=3×2×1=6\large 3! = 3\times2\times1 =6 3!=3×2×1=6 which is even.
4!=4×3×2×1=24\large 4! = 4\times 3\times 2 \times 1 = 24 4!=4×3×2×1=24 which is even.
Is it true that n!n!n! is always even for n>1n >1n>1?
Notation: !!! is the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 8!=1×2×3×⋯×8.
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