CAT 2002 — QA Question 41
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 three-lettered words can be formed such that at least one symmetrical letter is there?
Answer & solution
- A
12870
- B
18330
- C
16420
None of these
Solution
Number of asymmetrical letters = 15
Total number possible of words = 26 × 26 × 26 = 17576
Number of words without any symmetrical letters = 15 × 15 × 15 = 3375
Number of words with at least one symmetrical letter = 17576 − 3375 = 14201
Hence, option (d).