In how many different ways can the letters of the word GAMBLE be arranged?
In how many different ways can the letters of the word GAMBLE be arranged? Correct Answer None of these
The given 6 letters, all different.∴ Required number of ways
$$\eqalign{ & {}^6{P_6} = 6! \cr & = {6 \times 5 \times 4 \times 3 \times 2 \times 1} \cr & = 720 \cr} $$