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In how many arrangements of the letters of ARRANGE do the two R's NOT come together?

Competition practicePermutations & Combinations

A1260
B360
C900
D720

Step-by-Step Solution

All arrangements:

\frac{7 !}{2 ! 2 !} = 1260

(A twice, R twice). R's together as one block: 6 units with A twice,

\frac{6 !}{2 !} = 360

. Not together:

1260 - 360 = 900

.

Answer: C) 900

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