# In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

$\begin{array}{l}\text{Given,}\\ \text{Total number of student,}\ 6\ \text{boys}\ \&\ 4\ \text{girls}\\ \text{Number of way takeing 4 student from 10 studnets,}=^{10}C_4=210\\ \text{Now we take 4 studnets, where no boys so, it means we take only girls.}=^4C_4=1\\ \text{Now we take 4 studnets, where atleast 1 boys so, it means other then only girl group}=210-1=209\\ \end{array}$

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