In a question of a test paper, there are five items each under List-A and List-B.
In a question of a test paper, there are five items each under List-A and List-B. The examinees are required to match each item under List-A with its corresponding correct item under List-B. Further, it is given that
(i) no examinee has given the correct answer.
(ii) answers of no two examinees are identical
Which is the maximum number of examinees who took this test?
(a) 24 (b) 26 (c) 119 (d) 129
1 Answers
(c) Since, answers of no. two examinees are identical, so first item in List-A can be matched with any of the 5 items in List-B. It can be done in 5 ways. Similarly, 2nd item in List-A can be matched with any of the remaining 4 items in List-B. It can be done in 4 ways. Continuing in the same way,
No of ways of arranging the items = 5 × 4 × 3 × 2 × 1=120
Now, in this arrangement there is one such arrangement, which is the correct answer.
∴ Maximum number of examinees = no.
of ways of arrangement of items = 120 – 1 = 119