Permutated Pooled Pascal (Power of 3)

Algebra Level 1

Evaluate ( 1 + 2 + 3 ) 1 + 3 ( 1 + 2 ) 2 + 3 ( 1 ) 3 { (1+2+3) }^{ 1 }+3{ (1+2) }^{ 2 }+3{ (1) }^{ 3 }


The answer is 36.

Abyoso Hapsoro by Abyoso Hapsoro , 22, Indonesia

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1 solution

Sravanth C.
Apr 4, 2015

( 1 + 2 + 3 ) 1 + 3 ( 1 + 2 ) 2 + 3 ( 1 ) 3 (1+2+3)^{1}+3(1+2)^{2}+3(1)^{3}

It can be simplified as, 6 1 + 3 ( 9 ) + ( 3 ) ( 1 ) 6^{1}+3(9)+(3)(1)

Or, 6 + 27 + 3 6+27+3

= 36 =36

7 Helpful 0 Interesting 0 Brilliant 0 Confused

I don't understand. How did (1+2+3)¹ became 3¹ ?

Arib Zaman - 5 years, 11 months ago

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Thanks! Edited it. ⌣ ¨ \huge\ddot\smile

Sravanth C. - 5 years, 11 months ago

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