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How many two letter words can be formed using letters from the word SPACE, when repetition of letters is not allowed?

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Question

How many two-letter words can be formed using letters from the word SPACE, when repetition of letters is not allowed?

Sum
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Solution

Two-letter word is to be formed out of the letters of the word SPACE.
When repetition of the letters is not allowed
1st letter can be selected in 5 ways
2nd letter can be selected in 4 ways
∴ By using the fundamental principle of multiplication, the total number of 2-letter words = 5 × 4 = 20

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Chapter 6: Permutations and Combinations - Exercise 6.1 [Page 73]

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Balbharati Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.1 | Q 4. (ii) | Page 73

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