Not-So-Elementary Combinations

Level 1

Find ( 2 3 ) \dbinom{2}{3} .


The answer is 0.

David Lee by David Lee , 20, USA

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2 solutions

Josh Banister
Mar 26, 2016

( 2 2 ) + ( 2 3 ) = ( 3 3 ) ⟹ 1 + ( 2 3 ) = 1 ⟹ ( 2 3 ) = 0 \dbinom{2}{2} + \dbinom{2}{3} = \dbinom{3}{3} \\ \implies 1 + \dbinom{2}{3} = 1 \\ \implies \dbinom{2}{3} = 0

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Milind Prabhu
Apr 9, 2016

There are 0 0 ways to choose 3 3 objects out of 2 2 objects.

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