|
If you're limiting your picks to multiples of five, there are 14 such numbers in a 70 ball matrix, and the odds and the possibilities would be the same as if there were a Pick 14 game.
Formula for determining total possibilities - (70!/56!)/(14!) = 193,253,756,909,160.
Hits............Formula................Possibiliti es.....Odds.-.1::.
.0.((20!/20!)/(0!))x((50!/36!)/(14!))....937,845,656,300..206.60.
.1.((20!/19!)/(1!))x((50!/37!)/(13!))..7,097,210,372,000..27.23.
.2.((20!/18!)/(2!))x((50!/38!)/(12!)).23,065,933,709,000..8.38.
.3.((20!/17!)/(3!))x((50!/39!)/(11!)).42,583,262,232,000..4.54.
.4.((20!/16!)/(4!))x((50!/40!)/(10!)).49,769,187,733,650..3.88.
.5.((20!/15!)/(5!))x((50!/41!)/(9!))..38,844,244,084,800..4.98.
.6.((20!/14!)/(8!))x((50!/42!)/(8!))..20,809,416,474,000..9.29.
.7.((20!/13!)/(7!))x((50!/43!)/(7!))...7,743,038,688,000..24.96.
.8.((20!/12!)/(8!))x((50!/44!)/(6!))...2,001,751,479,000..96.54.
.9.((20!/11!)/(9!))x((50!/45!)/(5!)).....355,866,929,600..543.05.
10.((20!/10!)/(10!))x((50!/46!)/(4!)).....42,549,306,800..4,541.88.
11.((20!/9!)/(11!))x((50!/47!)/(3!)).......3,292,016,000..58,703.77.
12.((20!/8!)/(12!))x((50!/48!)/(2!)).........154,313,250..1,252,347.14.
13.((20!/7!)/(13!))x((50!/49!)/(1!))...........3,876,000..49,859,070.41.
14.((20!/6!)/(14!))x((50!/50!)/(0!))..............38,760..4,985,907,041.00.
|