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How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed? - Mathematics and Statistics

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Question

How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?

Sum

Solution

Number of letters in the word 'SPACE' = 5

In 2-lettered words, both the letters can be selected in 5 different ways, if repetitions of the letters are allowed.

∴ by fundamental principle of multiplication, the total number of 2-lettered words

= 5 × 5

= 25

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Chapter 3: Permutations and Combination - Exercise 3.1 [Page 47]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.1 | Q 3. (i) | Page 47

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