In how many different ways can the word GALOTIA be arranged?
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In how many different ways can the word GALOTIA be arranged?
2520
3050
2150
2980
3125
The word GALOTIA has 7 letters with A repeating twice. The number of arrangements is 7! / 2! = 5040 / 2 = 2520.
The word GALOTIA contains 7 letters in total, with the letter A appearing twice. Using the permutations of indistinguishable items formula, the total arrangements equal 7! divided by 2!. Evaluating this gives 5040 divided by 2, which is 2520.