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Using the digits 0,1,2,2,3 how many numbers greater than 20000 can be made?

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Best answer

Total number of digits = 0,1,2,2,3 

Total number formed by these digit = \(\frac{5!}{2!}=\frac{120}{20}=60\) 

Total number formed by starting 0 = \(\frac{4!}{2!}=\frac{24}{2}=12\)

Total number formed by starting 1 = \(\frac{4!}{2!}=\frac{24}{2}=12\)

Total number formed greater than 2000 

= 60 − 12 − 12 

= 36

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