Graduate Management Admission Test (GMAT) Practice Test

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What is 7 factorial (7!) equal to?

720
5040
40320
840

The correct answer is: 5040

To find the value of 7 factorial (denoted as 7!), you need to calculate the product of all positive integers from 1 to 7. The calculation proceeds as follows: 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 Breaking it down step-by-step: - First, multiply 7 and 6, which equals 42. - Next, multiply that result (42) by 5, resulting in 210. - Then, multiply 210 by 4, giving you 840. - Next, multiply 840 by 3, which equals 2520. - After that, multiply 2520 by 2, resulting in 5040. - Finally, multiplying by 1 does not change the result, so 7! = 5040. Thus, the correct interpretation of 7 factorial is indeed 5040. This further illustrates how factorials grow quickly as the numbers increase, making 7! considerably larger than the other options presented.