Explanation:

The term 14! equals the product of the numbers 1,2,3,4,5,6,7,8,9,10,11,12,13 and 14

Only two of these numbers are divisible by 7.

The numbers are 7 and 14.

Hence, 14! can be expressed as the product of k×7×14, where k is not divisible by 7.

Now, since there are two 7s in 14!, the numbers 7 and 7² divide 14! evenly

7³ and further powers of 7 leave a remainder when divided into 14!.

Hence, the maximum value of m is 2.

Hence, option 2 is the correct answer.