Xavier Aptitude Test 2011 Paper

Question : 63 of 101

Marks: +1, -0

In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can be plan such that no two of them are next to each other ?

56
73
80
120
None of the above

Validate

Solution:

(a) If first house is robbed II is not, if II is robbed then III is not and so on.......Thus 2 adjacent houses can never be chosen.
So no. of ways in which three houses can be robbed such that no two of them are next to each other.
=

^{10 -2} C _3

{^{8}C_3}

56

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