A probability problem by Aayush Mani

Probability Level 3

Can we tile completely white squares of the region above completely with 1x3 and 3x1 triominoes ?

None of the above No it is not possible Only in some circumstances Yes it is possible

Aayush Mani by Aayush Mani , 21, India

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3 solutions

Daniel Liu
Jun 27, 2014

See problem 2 here .

5 Helpful 0 Interesting 0 Brilliant 0 Confused
Marshall Akshay
Jul 23, 2014

No its not possible, there are total of 23*11=253 square blocks out of which 40 are dark blocks (written as 2014) i.e 253-40=213 are the white ones. 213/40 gives 13 as remainder hence we can't place these 13 white clocks above the dark ones to completely cover.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Megh Parikh
Jun 28, 2014

See http://jsbin.com/xewif

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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