A) \[120\]
B) \[80\]
C) \[90\]
D) \[100\]
Correct Answer: D
Solution :
Key Idea The boys in majority, if boys are more than girls. The boys are in majority, if the groups are \[4B\,\,3G,\,\,5B\,\,2G,\,\,6B\,\,1G\]. Total number of combinations \[{{=}^{6}}{{C}_{4}}{{\times }^{4}}{{C}_{3}}{{+}^{6}}{{C}_{5}}{{\times }^{4}}{{C}_{2}}{{+}^{6}}{{C}_{6}}{{\times }^{4}}{{C}_{1}}\] \[=15\times 4+6\times 6+1\times 4\] \[=60+36+4=100\]
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