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How many different numbers greater than 60000 can be formed with the digits 0, 2, 2, 6, 8? 

(a) 144 

(b) 48 

(c) 24 

(d) 288

1 Answer

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Best answer

(c) 24

Numbers greater than 60000 will have either 6 or 8 in the TTh place and will consist of 5-digits. 

If the digit 6 occupies the TTh place, the remaining 4 places can be occupied in \(\frac{4!}{2!}\) ways.       (∵ There are two 2’s) 

Number of numbers beginning with 6 = \(\frac{4!}{2!}\) = 12 

Similarly, number of numbers beginning with 8 = \(\frac{4!}{2!}\) = 12 

∴ Number of different numbers greater than 60000 formed with digits 0, 2, 2, 6, 8 

= 12 + 12 = 24.

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