CAT 2002 — QA Question 40
Words (P&C)Easy
Passage / Data
Answer the following question based on the information given below.
There are 11 alphabets A, H, I, M, O, T, U, V, W, X, Y. They are called symmetrical alphabets. The remaining alphabets are known as asymmetrical alphabets.
How many four-lettered passwords can be formed by using symmetrical letters only? (repetitions not allowed)
Answer & solution
Correct answer: 7920
- A
1086
- B
255
7920
- D
None of these
Solution
4 out of the 11 symmetrical alphabets need to be selected,
Also the order of alphabets needs to be accounted for (as it is a password)
∴ 11P4 = = 11 × 10 × 9 × 8 = 720 × 11 = 7920
Hence, option (c).