840
explanation in above IMG
(7!)/(3!) = 840
as we know that :- "x! = x•(x-1)!
so, in the case of (7!)/(3!)
[tex] \frac{7}{3} \\ = > \frac{7 \times (7 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times (6 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times 5 \times (5 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times 5 \times 4 \times (4 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times 5 \times 4 \times 3}{3} \\ \\ = > 7 \times 6 \times 5 \times 4 \\ \\ = > 28 \times 30 \\ \\ = > \boxed{840}[/tex]
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Verified answer
840
explanation in above IMG
Answer:
(7!)/(3!) = 840
Step-by-step explanation:
as we know that :- "x! = x•(x-1)!
so, in the case of (7!)/(3!)
[tex] \frac{7}{3} \\ = > \frac{7 \times (7 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times (6 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times 5 \times (5 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times 5 \times 4 \times (4 - 1)}{3} \\ \\ = > \frac{7 \times 6 \times 5 \times 4 \times 3}{3} \\ \\ = > 7 \times 6 \times 5 \times 4 \\ \\ = > 28 \times 30 \\ \\ = > \boxed{840}[/tex]
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