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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

  • 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!7! = 11 × 10 × 9 × 8 = 720 × 11 = 7920

Hence, option (c).
 

CAT 2002 QA Q40: How many four-lettered passwords can be formed by using symmetrical letters only? (repetitions not allowed) — Solution | TheCATExam