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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 fundamental principle of multiplication, total number of 2-letter words

= 5 × 4

= 20

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

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