the company, hewerrtt, would like to make letter codes using all of the letters in the word hewerrtt. how many codes can be made from all the letters in this word? a) 110 b) 5,040 c) 330 d) 40,320 e) 1,331,000 f) none of the above.



Answer :

Option b. 5040 is the correct answer i.e. 5040 codes can be made from the letter hewerrtt

Word from which code is to be formed = hewerrtt

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.

Number of letters in word hewerrtt = 8 letters

Number of times the letter 'e' is repeated = 2

Number of times the letter 'r' is repeated = 2

Number of times the letter 't' is repeated = 2

So, possible combinations = Ways in which hewerrtt can be arranged/ Number of repetitions

= 8!/2!*2!*2!

= 40320/8 = 5040

Learn more about permutations and combinations:

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