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Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same [#permalink]
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22 Aug 2016, 00:51
8
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A
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Difficulty:
65% (hard)
Question Stats:
63% (01:50) correct 37% (02:20) wrong based on 102 sessions
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Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
Re: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same [#permalink]
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22 Aug 2016, 06:34
1
Bunuel wrote:
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
A. 2,145 B. 6,435 C. 12,100 D. 12,870 E. 25,740
Since we are given atleast one symmetric letter in the three letter word we can take the following cases
1. All three 2. One symmetry and other two non 3. Two symmetry and one non 4. All the three letters can be arranged in 6 ways
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63% (01:50) correct 
