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

Sagot :

apologiabiology
so since the third place is fixed, we can count that out
organism has8 letters, count out the g since it is fixed
oranism has 7 letters
first slot=7 choices
2nd slot=6 choices (1 choice from 1 slot)
3rd=1 since only g can be here
4rd=5
5th=4
6th=3
7th=2
8th=1
so the answer is 7 times 6 times 1 times 5 times 4 times 3 times 2 times 1  (last one for g)=5040 ways
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