3 houses are available in a new flat. 3 persons apply for the houses. Each applies for 1 house without consulting others.The probability that all the 3apply for the same house is?  Choose the correct choice from the following answers: A) 1/7 B) 1/9 C) 2/7 D) 3/7 E) 2/9
One person can select one house out of 3= \inline {\color{Black}3C_{1}} ways =3.   Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.   Therefore, probability that all thre apply for the same house is 1/9   1/9
<result>B</result>
3 houses are available in a new flat. 3 persons apply for the houses. Each applies for 1 house without consulting others.The probability that all the 3apply for the same house is?