A group consists of 4 girls and 7 boys

Asked by admin @ in Math viewed by 306 People

A group consists of 4 girls and 7 boys, in how many ways can a team of 5 members be selected if the team has (i) no girl (ii) at least one boy and one girl (iii) at least three gir

Answered by admin @


Total Girls =4
Total boys =7
Total members =5
Ways of having no girl
=7c5*4c0=21ways

Ways of atleast one boy and 1 girl
= 7c1*4c4+7c2*4c3+7c3*4c2+7c4*4c1
By solving we get
= 273 ways

Ways of at least 3girls
=7c1*4c4+7c2*4c3
By solving we get
=91 ways
Hope it helps you


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