In how many ways can 6 girls and 2 boys sit in a row if the 2 boys insist on sitting next to a girl?
+118667 Just say the boys DO sit together
they can be in pos 1&2 or 2&3 or 3&4 or 4&5 or 5&5 or 6&7 or 7&8 that is 7 ways.
But either boy can be first so I have to times that by 2.
14 ways for the boys to sit together. Once they are sitting there are 6! ways to sit the girls
14*6! = 10080 ways for the boys to sit together.
With no restrictions there are 8! ways to sit the kids,
With the restrictions, there are 8! - 16*6! = 6!(56-16) = 6!*40 = 28 800 ways.
