Four people sit round a circular table, and each person will roll a normal six sided die once. The probability that no two people sitting next to each other will roll the same number is N 1296 . Find the value of N .

Step-by-step solution

n(S)=6 6 6 6=6^4=1296 Now A can throw die in 6 ways B can throw only in 5 way D can also throw in 5 ways Suppose C throws the same number as that of A Hence 'C' can throw only in 1 way Number of ways =6 5 5 1=150 Suppose C throws different number than A A can town in 6 ways B can town in 5 ways Now C will throw different from A and B hence C can throw in 4 ways Now D can not throws what A and C have thrown and therefore can throw in 4 ways. Number of ways =6 5 4 4=480 Total ways =630 Ans.