Out of 16 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?  Select
A) 12â„13 B) 11â„13 C) 9/11 D) 1â„15 E) None of these
Total possible ways of selecting 4 students out of 16 students = 16C4 =1820   The no. of ways of selecting 4 students in which no student belongs to Karnataka = 11C4=330   âˆ´ Hence no. of ways of selecting at least one student from Karnataka = 169/114 â€“ 119/114 = 1490   âˆ´ Probability = 1490â„1820 = 9â„11   Answer 9/11
<result>C</result>
Out of 16 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?