The number of five digit numbers divisible by 5 that can be formed using the numbers $0,1,2,3,4,5$ without repetition is

The five digit number is formed only when unit place is either 0 or 5 . Case I. When 0 is in unit place, then rest of numbers can be selected in ${ }^5 P_4$ ways. $=5 !=120$ Case II. When 5 is in unit place, then rest of numbers can be selected in ${ }^5 \mathrm{P}_4$ ways. $=5 !=120$ And we have to subtract those cases in which 0 is in thousand place. The number of ways $={ }^4 P_3=24$ $\therefore$ Required number of ways $=120+120-24$ $=216$