Question

The letters of word ‘ARRANGE’ are arranged such that two R’s are never together. The possible number of ways of doing so is:
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Answer 1

Answer:

900

Step-by-step explanation:

Number of arrangements of AANGE is 5!/2!=60

In every arrangement of AANGE we can select two different positions where to put additional R in 6!(2!)=15 ways

Number of arrangements of ARRANGE without consecutive Rs is then 60*15=900

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