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If A = 555! And B = (278)555 then which one of the following relation is appropriate?Cannot be determinedA>BA<BA=B

Question

If A = 555! And B = (278)555 then which one of the following relation is appropriate?Cannot be determinedA>BA<BA=B

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Solution

The appropriate relation is A > B.

Here's why:

  1. A = 555! means A is the factorial of 555. The factorial of a number is the product of all positive integers less than or equal to that number. So, 555! is a very large number.

  2. B = (278)^555 means B is 278 raised to the power of 555. Although this is also a large number, it's not as large as 555!.

  3. Therefore, A > B.

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