Question
Question: A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4, 5 without repeti...
A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4, 5 without repetition. The total number of ways this can be done is
A
216
B
600
C
240
D
3125
Answer
216
Explanation
Solution
(Key point : - We have to choose the combination of five numbers such that their sum is divisible by 3). There are two possible combinations.
Total ways = 4 x 4 x 3 x 2 + 5 x 4 x 3 x 2 = 216