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evaluate the expression 9!/6!

A: 54,000
B: 2!
C: 3/2
D: 504


Sagot :

Answer: D) 504

Step-by-step explanation:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

Using this, we can rewrite the initial expression as:

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 6 x 5 x 4 x 3 x 2 x 1

We can see that 6 x 5 x 4 x 3 x 2 x 1 is in both the numerator and the denominator, so we can cancel it out, leaving us with 9 x 8 x 7 which equals 504.

The answer is D because it is 504