Relatively Easy Cube coloring

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 :)

42 Answers

1
gagar.iitk ·

i am editting it wait for some time

1
gagar.iitk ·

a) 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

1
gagar.iitk ·

a) 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

3
msp ·

so

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

62
Lokesh Verma ·

no injun 6 colors the answer will not be 1...

and sankara.. that does not give the right answer! Think for a moment!

1
gagar.iitk ·

can u check it nishant

24
eureka123 ·

2 colors answer is 8 ??

3
msp ·

by 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.

3
msp ·

also sir i cant get where i am rong.

62
Lokesh Verma ·

yes sankara.. when there is only one color then there is only one way to color the cube :)

62
Lokesh Verma ·

woow.. 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!)

24
eureka123 ·

i 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

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