Out of 17 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?  Choose the correct answer:  A) 12â„13  B) 11â„13  C) 10â„15  D) 1â„15  E) 19/24
Total possible ways of selecting 4 students out of 17students = 17C4 = =2380   The no. of ways of selecting 4 students in which no student belongs to Karnataka = 12C4=495   âˆ´ Hence no. of ways of selecting at least one student from Karnataka = 17C4 â€“ 12C4 = 1885   âˆ´ Probability = 1885â„2380 = 19/24   Answer 19/24
<result>E</result>
Out of 17 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?