If a and b are positive integers, is a!/b! an integer?

(1) (b - a)(b + a) = 7! + 1

(2) b + a = 11

Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.

Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.

Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.

Each statement alone is sufficient to answer the question.

Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.