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 the correct choice from the following answers:
A) 159
B) 194
C) 210
D) 209
E) 166

Rationale: "out of 10 students 4 children should to be selected . so the combination will be 10 c 4 . 10 c 4 = 10 ! / 6 ! * 4 ! = 10 * 9 * 8 * 7 * 6 ! / 6 ! * ( 4 * 3 * 2 * 1 ) 10 c 4 = 210 there are 210 differect possible ways to select 4 children out of 10 students ."
Answer: C