1a) one color=1
b) two colors=5
c) three colors=11
d) 4 colors=13
e) 5 colors=15
f) 6 colors=30
check it out plz
In how many ways can you color a cube with
a) one color
b) two colors
c) three colors
d) 4 colors
e) 5 colors
f) 6 colors
Each of them is easy ... just needs a bit of thinking :)
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42 Answers
11a) one color=1
b) two colors=5
c) three colors=9
d) 4 colors=4
e) 5 colors=9
f) 6 colors=15
for four i dont think i am getting it right
3so
for 2 colors
it will be no of positive integral solns of n1+n2=6
for 3 colors
it will be no of positive integral solns of n1+n2+n3=6
62no injun 6 colors the answer will not be 1...
and sankara.. that does not give the right answer! Think for a moment!
3by brute force i have find the ans for 2 colours is 5.
sir all the faces are identical so we can colour the cube with 6 colours with only one way na.
62yes sankara.. when there is only one color then there is only one way to color the cube :)
62woow.. that is good eureka.. youve read this theory too !!!
But why..!!
(Sometimes i feel bad that i kind of prevent you from studying.. but then the fact is that knowledge is equated with a rank... unless you are going to join ISI/CMI!)
24i know that sir..and i always try to follow ur advice..but I am really addicted to theory...
but dont worry I hid the formula..
if u want i can delete my psot