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Algebra Level 1

1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 9 × 10 \frac{ 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 } { 9 \times 10 }


The answer is 448.

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Dakota Williams by Dakota Williams , 27, USA

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2 solutions

1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 9 × 10 \displaystyle\frac{1\times2\times3\times4\times5\times6\times7\times8}{9\times10}

= 1 × 2 × 3̸ × 4 × 5̸ × ( 2̸ × 3̸ ) × 7 × 8 3̸ × 3̸ × 2̸ × 5̸ =\displaystyle\frac{1 \times 2 \times \not 3 \times 4 \times \not 5 \times (\not 2 \times \not 3) \times 7 \times 8}{\not 3 \times \not 3 \times \not 2 \times \not 5 }

= 1 × 2 × 4 × 7 × 8 = 448 =1\times2\times4\times7\times8 = \boxed{448}

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Frankie Fook
Mar 12, 2015

Consider n as 2, 2(n+1(n+2(n+3(n+4(n+5(n+6)X1/90=40320/90=448,Can someone else simplify this solution?

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