Respuesta :

Answer:

500

Step-by-step explanation:

500! / 499!

500 * 499 * 498 * ...........*3*2*1

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499*498*497...........*3*2*1

Cancel the 499 in the numerator and denominator

Cancel the 498 in the numerator and  denominator.

.......

All the numbers will cancel except for the 500 in the numerator

500!/499! = 500

It amounts to 500
500 factorial has 500×499×498 etc.
499 factorial has 001x499×498 etc.

all the numbers from 499 and lower cancel each other out, leaving only 500÷1