Factorial

Algebra Level 2

1 ! × 2 ! × 3 ! × 4 ! = ? \large 1!\times 2! \times 3! \times 4!=?

2 4 × 3 2 2^4 \times 3^2 2 5 × 3 3 2^5 \times 3^3 2 4 × 3 3 2^4 \times 3^3 2 5 × 3 2 2^5 \times 3^2

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2 solutions

1 ! = 1 1!=1

2 ! = 2 2!=2

3 ! = 6 = 3 2 3!=6=3*2

4 ! = 24 = 8 3 = 2 3 3 4!=24=8*3=2^3*3

1 ! 2 ! 3 ! 4 ! = ( 1 ) ( 2 ) ( 2 3 ) ( 2 3 3 ) = 2 5 3 2 1!*2!*3!*4!=(1)*(2)*(2*3)*(2^3*3)=2^5*3^2

Should use \times × \times or \cdot \cdot for multiplication sign. Asterisk * is used in computer sign for convenience because there is no × \times on the keyboard.

Chew-Seong Cheong - 2 years, 5 months ago

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Thanks dear ;)

ابراهيم فقرا - 2 years, 5 months ago

I did something like that, only to end with a math error.

Deva Craig - 2 years, 5 months ago
Jaywon Han
Dec 28, 2018

1×(1×2)×(1×2×3)×(1×2×3×4)= 2×2×2×4×3×3=2of 5 square×3 of square.

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