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Calculate the product of [tex]\(3!\)[/tex].

[tex]\[ \frac{14}{15} \][/tex]


Sagot :

Sure, let's solve the given problem step-by-step!

To find the product of [tex]\( 3! \)[/tex] (which is read as "3 factorial"), we need to calculate the product of all positive integers from 1 up to 3.

1. Start with the smallest integer, which is 1:
[tex]\[ 1 \][/tex]

2. Multiply this by the next integer, which is 2:
[tex]\[ 1 \times 2 = 2 \][/tex]

3. Now, multiply the result by the next integer, which is 3:
[tex]\[ 2 \times 3 = 6 \][/tex]

Therefore, the product of [tex]\( 3! \)[/tex] is [tex]\( 6 \)[/tex].

So, [tex]\( 3! = 6 \)[/tex].