The letters of the word “ARTICLE” are taken four at a time and arranged in all possible ways. The number of arrangements containing ‘A’ is

Number of letters in the word ARTICLE is = 7

4 letter words containing A is required. Consider 4 blank places. The letter ‘A’ can be placed in any one of the 4 places remaining 3 places can be filled using remaining 6 letters in $6_{{\mathrm{P}}_3}$ ways.

∴ No of permutations $=4\times 6_{{\mathrm{P}}_3}$

                                          $=4\times (6\times 5\times 4)=480$

      Option (4) is correct.