Question

Simplifique as expressões:
a) 10!/8!=
b)26!/23!
c) 6! =
d) 7!/4!=

Answer 1

Letra a:

$\frac{10! }{8! } = \frac{10 \times 9 \times 8! }{8! } = 10 \times 9 = 90$

Letra b:

$\frac{26! }{23! } = \frac{26 \times 25 \times 24 \times 23! }{23! } = 26 \times 25 \times 24$

$650 \times 24 = 15600$

Letra c:

$6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$

Letra d:

$\frac{7! }{4! } = \frac{7 \times 6 \times 5 \times 4! }{4! } = 7 \times 6 \times 5 = 210$