Answered



How many different seven-letter arrangements of the letters in the

word HEXAGON can be made if each letter is used only once?

(1) 28 (3) 720

(2) 49 (4) 5040

Verified Answer :

apologiabiology

use permutations which is also the slot meathod so exg
if you have the letters abc, then how many ways can you arrangge them with no repreats?
3 choices for the 1st slot
2 choices for the 2nd slot since 1 was used in 1st slot
3 choices for 3rd slot since 2 were used in previous slots so basically 3 times2 times 1 or 6

in this case of HEXAGON
7 letters so
7 times 6 times 5 times 4 times 3 times 2 times 1=answer=5040 ways

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