Question

evaluate 8! upon 6!-4!=​

Answer 1

Answer:

your solution is as follows

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Step-by-step explanation:

$to \: find : \\ \frac{8!}{6! - 4!} \\ \\ = \frac{8!}{6! - 4!} \\ \\ = \frac{8 \times 7 \times 6 \times 5 \times 4!}{6 \times 5 \times 4! - 4!} \\ \\ = \frac{56 \times 30 \times 4!}{4!(6 \times 5 - 1)} \\ \\ = \frac{1680}{30 - 1} \\ \\ = \frac{1680}{29} \\ \\ = 57.93$

Answer 2

Concept: Factorial of a number is defined as the product of that number with all its lower values (product of descending series). It is denoted by (!)

• $\boxed{\purple{\rm n! = n \times (n – 1) \times . . . \times 1 }}$

Given Expression:

$\\\quad\bullet\quad \dfrac{8!}{6!} - 4!$

Calculation:

$\\\quad\longrightarrow\quad \dfrac{8 \times 7 \times 6!}{6!} - 4!$

$\\\quad\longrightarrow\quad 56 - 4!$

$\\\quad\longrightarrow\quad 56 - \bigg( 4 \times 3 \times 2 \times 1\bigg)$

$\\\quad\longrightarrow\quad 56 - 24$

$\\\quad\therefore\quad \boxed{32}\bigstar$

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