An algebra problem by Benedict Dimacutac

Algebra Level 3


The answer is 2.

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1 solution

Vishal S
Aug 28, 2015

From the question, P can be written as

P= ( 16 + 2 ) ( 16 2 ) ( 16 + 3 ) ( 16 3 ) . . . . . ( 16 + 8 ) ( 16 8 ) 18 × 13 × 19 × 12 × . . . . 24 × 7 \frac { (16+2)(16-2)(16+3)(16-3).....(16+8)(16-8) }{ 18\times 13\times 19\times 12\times ....24\times 7 }

= 18 × 14 × 19 × 13 × . . . . × 23 × 9 × 24 × 8 18 × 13 × 19 × 12 × . . . . × 24 × 7 =\frac { 18\times 14\times 19\times 13\times ....\times 23\times 9\times 24\times 8 }{ 18\times 13\times 19\times 12\times ....\times 24\times 7 }

= 14 7 =\frac { 14 }{ 7 }

= 2 =\ { 2 }

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