1 Block Off The Grid
Tricky Maths Question. Can You Do It?
The street system in New York is built up as a series of blocks. The section in which Gordon works is 10 blocks wide and 15 blocks long and Grand Central Station is located in the top North West corner of the section. When asked exactly where he worked, he wouldn’t say, but said that from Grand Central Station, starting on January 1st 2009, he could take a different route to work every day except Christmas Day (which he took off) but that on January 1st 2010, he would need to repeat a route already used. If Gordon only walks either South of East, find out where he works. Give your answer as grid location from the station.
Good Luck!
Gordon must walk 11 blocks out of 15 and 3 blocks out of 10. The number of different routs from the starting point to his workplace (walking South and East only) is the number of combinations:
C[11+3, 3] = C[11+3, 11] = C[14, 3] = (14*13*12)/(1*2*3) =
= 364 = 365 – 1{except Christmas Day}
Merry Christmas, Katie!
1 Block Off The Grid
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