In a group of 6 boys and 3 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included? Select the correct option:
A) 105  B) 111  C) 117  D) 123  E) 129
The total number of ways to choose 4 children is 9C4 = 126   The number of ways to choose only boys is 6C4 = 15   The number of groups which include at least one girl is 111.   The answer is 111.
<result>B</result>
In a group of 6 boys and 3 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?