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Please help me Simplify: 6! − 3!

Sagot :

Answer: Option B 3!((6×5×4)-1)

Step-by-step explanation:

6! - 3!

= (1×2×3×4×5×6) - (1×2×3)

= 720 - 6

= 714

As you told you forgot to put options lemme answer it.

It will be option B

3!((6×5×4)-1)

It will be 6((6×5×4)-1)

= 6(120) -6

= 720 - 6

= 714

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[tex]\\ \sf\longmapsto 6!-3![/tex]

[tex]\\ \sf\longmapsto (6\times 5\times 4\times 3\times 2\times 1)-(3\times 2\times 1)[/tex]

[tex]\\ \sf\longmapsto (720)-6[/tex]

[tex]\\ \sf\longmapsto 714[/tex]

Note:-

[tex]\boxed{\sf n!=n\times (n-1)(n-2)\dots}[/tex]

or

[tex]\\ \sf\longmapsto n!=n\times( n-1)![/tex]