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finlep [7]
2 years ago
10

Evaluate the expression. StartFraction 9 factorial Over 3 factorial EndFraction 3 6 60,480 362,874

Mathematics
2 answers:
REY [17]2 years ago
5 0

Answer:

60,480 is the correct answer.

Step-by-step explanation:

First of all, let us have a look at the <em>formula of factorial of a number 'n'</em>:

n! = n \times (n-1) \times (n-2) \times ...... \times 1

i.e. multiply n with (n-1) then by (n-2) upto 1.

<em>Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.</em>

<em></em>

So, 9! can be written as: 9 \times 8 \times 7 \times ...... \times 1

Similarly 3! can be written as: 3 \times 2 \times 1

Re-writing 9 ! :

9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !

Now, the expression to be evaluated:

\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480

Natali5045456 [20]2 years ago
3 0

Answer:

60480

Step-by-step explanation:

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