Ia there another method possibly? A group consists of 8 boys and 4 girls. Find the number of different ways that a group of 7 can be chosen if a particular boy is included.
I am getting 1071 ways from isolating this boy and combining others.
eg 3 boys and 3 girls and so on...
There are $11$ remaining children from which $6$ have to be chosen, if we set aside the one special boy. The sex of the remaining children is irrelevant in this case. So I'd say we have ${11 \choose 6} = 462$ options.