The number of permutations which can be formed out of the letters of the word "SERIES" taking three letters together, is:

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Filo · Accepted Answer

Given letters S,S,E,E,R,IThere are 4 district letters S,E,R,I.We need to form 3−lettered words.Case 1: All 3 letters are district                Choosing 3 letters =4C3​               Rearrangements =3!               Total =4C3​×3!=24Case 2:2 are of one kind, 1 is different                There are choices for repeated letters (S,E)               =2C1​               We need to choose 1 from remaining 3 letters =3C1​               These can rearranged in 2!3!​ ways.               Total =2×3×3=18∴ Required =24+18=42 words.Hence, the answer is 42.

Question Text	The number of permutations which can be formed out of the letters of the word $" SER I ES "$ taking three letters together, is:
Answer Type	Text solution:1
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The number of permutations which can be formed out of the letters of the word $" SER I ES "$ taking three letters together, is:

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