使用排列计算中国福利彩票双色球组合数

2022-04-24

总组合数

$C_{33}^{6} C_{16}^{1} = 17721088$

$1$

$C_{6}^{6} C_{16 - 1}^{1} = 15$

$C_{6}^{5} C_{33 - 5 - 1}^{1} = 162$

$C_{6}^{5} C_{33 - 5 - 1}^{1} C_{16 - 1}^{1} + C_{6}^{4} C_{33 - 4 - 2}^{2} = 7695$

$C_{6}^{4} C_{33 - 4 - 2}^{2} C_{16 - 1}^{1} + C_{6}^{3} C_{33 - 3 - 3}^{3} = 137475$

$C_{6}^{2} C_{33 - 2 - 4}^{4} + C_{6}^{1} C_{33 - 1 - 5}^{5} + C_{33 - 6}^{6} = 1043640$