An eight digit number divisible by 9 is to be formed using digits from 0 to 9 without repeating the digits. The number of ways in which this can be done is :
← JEE Main 2014 · 11 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 66 of 90
JEE Main 2014 · 11 Apr · Shift 1, Mathematics question 66
Answer and worked solution
Official answer: D
The digits 0-9 sum to 45. An 8-digit selection is divisible by 9 exactly when the two omitted digits sum to 9: .
- Omit : digits 1-8, giving numbers.
- Each of the other four pairs leaves 0 in, giving numbers.
Total: .