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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

Sum

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

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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 allowed
1st letter can be selected in 5 ways
2nd letter can be selected in 5 ways
∴ By using the fundamental principle of multiplication, the total number of 2-letter words = 5 × 5 = 25

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.1 | Q 4. (i) | Page 73
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