Question

вычислите: А²37
Р7 С⁷12​

Answer 1

$A ^{2} _{37} = \frac{37 !}{ (37 - 2) !} = \\ = \frac{37 !}{ 35 !} = 36 \times 37 = 1332$

$P_7 = 7 ! = \\ = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 = \\ = 5040$

$C ^{7} _{12} = \frac{12!}{7! (12 - 7)!} = \frac{8 \times 9 \times 10 \times 11 \times 12}{1 \times 2 \times 3 \times 4 \times 5} = \\ = 8 \times 9 \times 11 = 792$