Respuesta :

AL2006

6! (six factorial) means (6 x 5 x 4 x 3 x 2 x 1)  =  720 .

2! (two factorial) means (2 x 1)  =  2 .

6! 2! = (6 x 5 x 4 x 3 x 2) (2) = 1,440 .

Answer:  The required value of the given expression is 1440.

Step-by-step explanation:  We are given to evaluate the following expression involving factorials:

[tex]E=6!2!.[/tex]

We know that

for any non-negative integer n, the factorial of n is defined as:

[tex]n!=n\times(n-1)\times(n-2)\times~.~.~.~\times2\times1.[/tex]

Therefore, the value of the given expression E will be

[tex]E\\\\=6!2!\\\\=6\times5\times4\times3\times2\times1\times2\times1\\\\=1440.[/tex]

Thus, the required value of the given expression is 1440.

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