$$ 7! $$ $$ 7!=\square $$ (Simplify your answer. Type an integer or a fraction.)

Question

UpStudy AI · Accepted Answer

We start with the definition of factorial:

$$
n! = n \times (n-1) \times \cdots \times 2 \times 1
$$

For $$7!$$:

$$
7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1
$$

Multiplying step-by-step:

$$
7 \times 6 = 42
$$
$$
42 \times 5 = 210
$$
$$
210 \times 4 = 840
$$
$$
840 \times 3 = 2520
$$
$$
2520 \times 2 = 5040
$$
$$
5040 \times 1 = 5040
$$

Thus, we simplify:

$$
7! = 5040
$$
$$7! = 5040$$

(Simplify your answer. Type an integer or a fraction.)

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