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English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X and Y. How many symmetric three letters passwords

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Question

English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X and Y. How many symmetric three letters passwords can be formed using these letters?

Sum
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Solution

Number of 3 Letter passwords
= 11P3
= 11 × 10 × 9
= 990

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Chapter 6: Permutations and Combinations - Miscellaneous Exercise 6 [Page 92]

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Balbharati Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 6 | Page 92

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