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Question

How many unique ways are there to arrange the letters of the word $$'PRIOR'$$


A
60
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B
120
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C
180
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D
150
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Solution

The correct option is A $$60$$
PRIOR 
Number of letters $$=5$$
Out of which $$R$$ is repeated twice 
$$\Rightarrow $$There are $$4$$ diffrent letters 
Total number of arrangements 
$$=\cfrac { 5! }{ 2 } \\ =\cfrac { 120 }{ 2 } \\ =60$$

Therefore possible ways $$=60$$

Mathematics

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