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Permutations and Combination — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations and Combination2 Marks
Question
How many two-letter words can be formed using letters from the word SPACE, when repetition of letters (i) is allowed (ii) is not allowed
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Answer

A two-letter word is to be formed out of the letters of the word SPACE. (i) 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 (ii) 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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