Group \( A \) consists of \( 7 \) boys and \( 3 \) girls, while group \( B \) consists of \( 6 \) boys and \( 5 \) girls. The number of ways, \( 4 \) boys and \( 4 \) girls can be invited for a picnic if \( 5 \) of them must be from group \( A \) and the remaining \( 3 \) from group \( B \), is equal to:
