In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included? Choose the correct choice from the following answers: A) 175 B) 190 C) 205 D) 220 E) 235
The total number of ways to choose 4 children is 10C4 = 210   The number of ways to choose only boys is 5C4 = 5   The number of groups which include at least one girl is 205.   The answer is 205.
<result>C</result>
In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?