The number of ways of arranging the letters of the word LINEAR so that the letters $\mathrm{N}$ and $\mathrm{R}$ do not come together and $\mathrm{E}$ and $\mathrm{A}$ come together is

• A

  80
• B

  60
• C

  10
• Correct answer
  D

  144

Solution

We have a word; LINEAR then no. of arrangements having EA together is
now an arrangement having RN and EA together is
Hence no. of words having $\mathrm{N}$ and $\mathrm{R}$ not together is $240-96=144$

Hence, the correct answer is option: 'D'.