Always resisting factorials!

Number Theory Level 2

For how many positive integers x x does the equation above hold true?

Notation: ! ! denotes the factorial function ; for example: 8 ! = 1 × 2 × 3 × ⋯ × 8 8! = 1 \times 2 \times 3 \times \cdots \times 8 .

1 3 2 0

Tapas Mazumdar by Tapas Mazumdar , 20, India

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1 solution

Tapas Mazumdar
Aug 8, 2016

Only 0, 1 and 2 satisfy this equation. Among these, only 2 are postive numbers.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Ok so i have a doubt why is 2 coming here

Shibi Umesh - 4 years, 10 months ago

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