In a locality there are ten houses in a row. On a particular night a thief planned to steal from three houses of locality. In how many ways can he plan such that no two houses are next to each other?  Choose the correct choice:	A) 56	B) 73	C) 80	D) 100	E) 120
Lets say we have removed the three said houses. Now we are left with 7 houses.   If we arrange these 7 houses we have 8 places to put the other 3 houses at.   _ H1 _ H2 _ H3 _ H4 _ H5 _ H6 _ H7 _   so 8C3 = 56   56NSWER:56
<result>A</result>
In a locality there are ten houses in a row. On a particular night a thief planned to steal from three houses of locality. In how many ways can he plan such that no two houses are next to each other?