question_answer

The number of integers greater than 6000 that can be formed, using the digits 3,5,6,7 and 8, without repetition is : [JEE Main Solved Paper-2015 ]

A) 120                                        

B) 72

C)  216                                       

D) 192

Correct Answer: D

Solution :

Total \[3\times 4!+5!=192\] \[=72+120=192\] 1 st place can be filled in 3 ways with 6 (or) 7 (or) 8 Remaining 4 places in 4! ways and 5 digits can be arranged in 5! ways .