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How many words, with or without meaning can be made from the letter of the word FRIDAY, assuming no letter is repeated if 3 letters are used at a time?

Option: 1

110

 


Option: 2

120


Option: 3

150

 


Option: 4

180


Answers (1)

best_answer

The word FRIDAY has 6 different letters.

The number of 3-letter words that can be formed from the letters of the word FRIDAY, without the repetition of the letters, is the permutation of 6 different objects taken at a time is,

^6P_3

Thus, the required number of ways to form a 3-letter word is,

^6P_3=\frac{6!}{\left ( 6-3 \right )!}

^6P_3=\frac{6!}{3!}

 ^6P_3=\frac{6\times 5\times 4\times 3\times 2\times 1}{3\times 2\times 1}

^6P_3=120 

Therefore, the number of ways is 120 ways.

Posted by

avinash.dongre

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