How many ways can the letters of the word ORGANISM be arranged so that the third letter is G?

Question

AL2006 · Answer

Besides the 'G' there are 7 other letters. So they can be arranged in 
 7 x 6 x one x 5 x 4 x 3 x 2 x 1 = 5040 ways.

AL2006 · Answer

The letters of the word "ORGANISM" can be arranged in 5040 different ways with "G" fixed in the third position. This is calculated by arranging the remaining 7 letters using factorial notation. Therefore, the total arrangements are 7!, which equals 5040. 
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How many ways can the letters of the word ORGANISM be arranged so that the third letter is G?

Answer (2)

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