In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected? Choose one:
A) 159
B) 194
C) 210
D) 209
E) 166
Out of 10 students 4 children should to be selected.   So the combination will be 10C4.   102104=10!/6!*4!=10*9*8*7*6!/6!*(4*3*2*1)   102104=210   There are 210 differect possible ways to select 4 children out of 10 students.
<result>C</result>
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected?