Finding More Odds
Probability
Level
2
How many positive 3-digit odd numbers can be formed using 0,1, 2, 3, 4, 5 without repetition?
35
38
45
48
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1 solution
For the last digit there are only 3 possible numbers to make it odd - 1, 3 and 5
For the first digit we can have any number except zero (this would make it a two digit number) and the already used last digit. Therefore there are 4 possibilities.
For the middle digit we can choose any number not yet used giving us 4 more possibilities.
3 × 4 × 4 = 4 8