C(x,n) = n*(n-1)*….*[n-(x+1)]/[(x*(x-1)*….*1)] ;
例如:C(2,6) = 6*5/(2*1) = 15 ;
壹、雙色球壹***有多少註?紅33選6,藍16選1
sum = C(6,33) * C(1,16) = 17721088(註)
壹註2元,壹***17721088 * 2 = 35442176(元)
二、所有的都單選壹註,能中的註數及獎金
2.1 壹等獎6+1
Sum1 = C(6,6) * C(1,1) = 1 註
Money1 = 1 * zhu1 ; 每註獎金(zhu1)浮動不定;
2.2 二等獎6+0
Sum2 = C(6,6) * C(1,15) = 15 註
Money2 = 15 * zhu2 ; 每註獎金(zhu2)浮動不定;
2.3 三等獎5+1
Sum3 = C(5,6) * C(1,27) * C(1,1) = 162 註
Money3 = 162 * 3000 = 486000 ; 每註3000;
2.4 四等獎5+0 / 4+1
Sum4 = C(5,6)*C(1,27)*C(1,15) + C(4,6)*C(2,27)*C(1,1) = 7695 註
Money4 = 7695 * 200 = 1539000 ; 每註200;
2.5 五等獎4+0 / 3+1
Sum5 = C(4,6)*C(2,27)*C(1,15) + C(3,6)*C(3,27)*C(1,1) = 137475 註
Money5 = 137475 * 10 = 1374750 ; 每註10;
2.6 六等獎2+1 / 1+1 / 0+1
Sum6 = C(2,6)*C(4,27)*C(1,1) + C(1,6)*C(5,27)*C(1,1) + C(6,27)*C(1,1)= 868140 註
Money6 = 868140 * 5 = 4340700 ; 每註5;
總結:
中獎註數:Sum = Sum1+ Sum2+ Sum3+ Sum4+ Sum5+ Sum6 = 1013488 註
中獎獎金:Money = Money1+ Money2+ Money3+ Money4+ Money5+ Money6
= Money1+ Money2+ 7740450
按照最新2012042期,壹等zhu1=7761863;二等zhu2=147299;
Money = 7761863 + 15*147299 +7740450 = 17711798(元)
全部單選:總收入 17711798 ;
購買支出:35442176 ;
個人稅: 未計算,不過應該超過150萬;
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