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How many different arrangements of 5 be formed if the first must Work (of allowed?

How many different arrangements of 5 be formed if the first must Work (of allowed-example-1
User Puchatek
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1 Answer

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19 votes

ANSWER

There are 913,952 different 5-letter combinations that can be formed.

Step-by-step explanation

Recall that there are 26 letters in the English Alphabet.

From the question, we are to find the arrangement of 5 letters with the first letter being either W or K, and repetition of letters is allowed.

The possibilities for the 1st letter is 2 since the 1st letter can be either W or K;

More so, the possibilities for the 2nd letter is 26;

The possibilities for the 3rd letter is 26;

The possibilities for the 4th letter is 26, and

The possibilities for the 5th letter is 26;

The possibilities of arranging 5 letters = 2 x 26 x 26 x 26 x 26 = 913,952.

Hence, a total of 913,952 different 5-letter combinations can be formed.

User Anna Adamchuk
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