|
|
1000 = 23 . 53
2000 = 24.53
a = 2x.5y , b = 2p.5r , c = 2h.5g
so max (x,p) = 3 , max of (x,h) = max (p,h) = 4
max (y,r)=max(r,g)=max(y,g)=3
we can choose y,r,g by
1 with all 3 , 3 times with one 2 , 3 times with one 1 and 3 times with one 0
= 10 ways
C must be 4.......
so we can choose A,B by
1 with both 3,3 , 3 with A = 3 and B=/= 3 and 3 with A =/= 3 & B = 3
= 7 ways....
so total number of ways = 7 x 10 = 70
|