The total possible arrangement of the word 'LINEAR' is 6!=720. Number of possible arrangement of the word 'LINEAR' in which E and A come together is 5!2!=120×2=240 Number of possible arrangement in the word 'LINEAR' in which E and A come together and N and R come together =2!2!4!. =2×2×24=96 Number of possible arrangement in which E and A come together but N and R do not come together =240−96=144