A group consists of 8 boys and 5 girls, then the number of committees of 5 persons that can be formed, if committee consists of at least 2 girls and at most 2 boys, are

Step-by-step solution

A committee of 5 is to be formed from 8 boys and 5 girls so that it consists of at least 2 girls and at most 2 boys. Total number of ways aligned & =( Five girls )+(4 girls )(1 boy )+(3 girls ) (2 boys ) & = ^5 C ₅+ ^5 C ₄ ^8 C ₁+ ^5 C ₃ ^8 C ₂ & =1+(5 8)+(10 28) & =1+40+280 & =321 aligned