What is the value of (5!-4!)?

Correct answer: (96)

The factorial symbol means the product of all positive whole numbers from the given number down to 1. Thus \\(5!=5\\times4\\times3\\times2\\times1=120\\), while \\(4!=4\\times3\\times2\\times1=24\\). The expression asks for the difference between these two completed factorial values.

Substituting the values gives \\(5!-4!=120-24=96\\). A common mistake is to treat the expression as a factorial of the difference, but \\(5!-4!\\) means subtract two factorials, not calculate \\(1!\\). Another mistake is to stop at a partial product. Since the correct difference is 96, option A is the required answer.