第1个回答 2024-03-21
210种组合。组合数计算公式:C(n,m)=n!/m!(n-m);若选择10个数字中的6个数字,则其组合数为:C(10,6)=10!/(6!(10-6)!)=10*9*8*7*6*5/6*5*4*3*2*1=210,组合是数学的重要概念之一,它表示从n个不同元素中每次取出m个不同元素,不管其顺序合成一组,称为从n个元素中不重复地选取m个元素的一个组合。所有这样的组合的种数称为组合数。组合是指在一定范围内从中抽取不同的元素,在不考虑抽取顺序的情况下进行组合,比如,从1-10中抽取6个数字,则可以有1,2,3,4,5,6,1,2,3,4,5,7,1,2,3,4,5,8,1,2,3,4,5,9,1,2,3,4,5,10,1,2,3,4,6,7,1,2,3,4,6,8,1,2,3,4,6,9,1,2,3,4,6,10,1,2,3,4,7,8,1,2,3,4,7,9,1,2,3,4,7,10,1,2,3,4,8,9,1,2,3,4,8,10,1,2,3,4,9,10,1,2,3,5,6,7,1,2,3,5,6,8,1,2,3,5,6,9,1,2,3,5,6,10,1,2,3,5,7,8,1,2,3,5,7,9,1,2,3,5,7,10,1,2,3,5,8,9,1,2,3,5,8,10,1,2,3,5,9,10,1,2,3,6,7,8,1,2,3,6,7,9,1,2,3,6,7,10,1,2,3,6,8,9,1,2,3,6,8,10,1,2,3,6,9,10,1,2,3,7,8,9,1,2,3,7,8,10,1,2,3,7,9,10,1,2,3,8,9,10,1,2,4,5,6,7,1,2,4,5,6,8,1,2,4,5,6,9,1,2,4,5,6,10,1,2,4,5,7,8,1,2,4,5,7,9,1,2,4,5,7,10,1,2,4,5,8,9,1,2,4,5,8,10,1,2,4,5,9,10,1,2,4,6,7,8,1,2,4,6,7,9,1,2,4,6,7,10,1,2,4,6,8,9,1,2,4,6,8,10,1,2,4,6,9,10,1,2,4,7,8,9,1,2,4,7,8,10,1,2,4,7,9,10,1,2,4,8,9,10,1,2,5,6,7,8,1,2,5,6,7,9,1,2,5,6,7,10,1,2,5,6,8,9,1,2,5,6,8,10,1,2,5,6,9,10,1,2,5,7,8,9,1,2,5,7,8,10,1,2,5,7,9,10,1,2,5,8,9,10,1,2,6,7,8,9,1,2,6,7,8,10,1,2,6,7,9,10,1,2,6,8,9,10,1,2,7,8,9,10,1,3,4,5,6,7,1,3,4,5,6,8,1,3,4,5,6,9,1,3,4,5,6,10,1,3,4,5,7,8,1,3,4,5,7,9,1,3,4,5,7,10,1,3,4,5,8,9,1,3,4,5,8,10,1,3,4,5,9,10,1,3,4,6,7,8,1,3,4,6,7,9,1,3,4,6,7,10,1,3,4,6,8,9,1,3,4,6,8,10,1,3,4,6,9,10,1,3,4,7,8,9,1,3,4,7,8,10,1,3,4,7,9,10,1,3,4,8,9,10,1,3,5,6,7,8,1,3,5,6,7,9,1,3,5,6,7,10,1,3,5,6,8,9,1,3,5,6,8,10,1,3,5,6,9,10,1,3,5,7,8,9,1,3,5,7,8,10,1,3,5,7,9,10,1,3,5,8,9,10,1,3,6,7,8,9,1,3,6,7,8,10,1,3,6,7,9,10,1,3,6,8,9,10,1,3,7,8,9,10,1,4,5,6,7,8,1,4,5,6,7,9,1,4,5,6,7,10,1,4,5,6,8,9,1,4,5,6,8,10,1,4,5,6,9,10,1,4,5,7,8,9,1,4,5,7,8,10,1,4,5,7,9,10,1,4,5,8,9,10,1,4,6,7,8,9,1,4,6,7,8,10,1,4,6,7,9,10,1,4,6,8,9,10,1,4,7,8,9,10,1,5,6,7,8,9,1,5,6,7,8,10,1,5,6,7,9,10,1,5,6,8,9,10,1,5,7,8,9,10,等等。