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

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

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

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