9 persons a, b, c, ... and i are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there? Choices:
A) 24
B) 36
C) 48
D) 72
E) 144
firstly it is not GEOMETRY but COMBINATIONS, so changing the TAG accordingly..   total 9 are there..   take a,b, and c as one,so total =7..   these 7 can be arranged in 7! ways..   a,b, and c can be arranged within themselves in 3! ways ..   TOTAL = 7!*3!=30240   144
<result>E</result>
9 persons a, b, c, ... and i are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?