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

Step-by-step solution

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 P₄ ways. =5 !=120 Case II. When 5 is in unit place, then rest of numbers can be selected in ^5 P ₄ ways. =5 !=120 And we have to subtract those cases in which 0 is in thousand place. The number of ways = ^4 P₃=24 Required number of ways =120+120-24=216