4 brothers and 3 sisters is to be arranged in a row for a photograph. In how many ways can they be seated if all the sisters sit together?
Pick
A) 520 ways
B) 820 ways
C) 620 ways
D) 720 ways
E) 420 ways
Since all the sister sit together we can consider them as a single unit. this together and 4 brothers can be arranged in 5x4x3x2x1 ways. The three sisters themselves can be arranged in 3x2x1 ways. The total number arrangements required = 5x4x3x2x3x2 ways =720 Answer : 720 ways
<result>D</result>
4 brothers and 3 sisters is to be arranged in a row for a photograph. In how many ways can they be seated if all the sisters sit together?