Question

Untitled question A) 637 B)673 C)133 D)252 preciso para sexta feira me ajudem

Answer 1

$\binom{15}{15} + \binom{14}{11} + \binom{19}{1} + \binom{27}{0} - \binom{10}{5} = \\ \\ 1 + \frac{14!}{11!(14-11)!} + 19 + 1 - \frac{10!}{5!(10-5)!} = \\ \\ 1 + \frac{14 \cdot 13 \cdot 12 \cdot 11!}{11! \cdot 3!} + 20 - \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!}{5! \cdot 5!} = \\ \\ 21 + \frac{2184}{6} - \frac{30240}{120} = \\ \\ 21 + 364-252 = \\ \\ \boxed{133}$