How many 3 digit odd numbers can be made using 1,3,4,6,8 and there can be no repeats

Question

How many 3 digit odd numbers can be made using 1,3,4,6,8 and there can be no repeats

Answer 1

For the first digit, you have a choice of 4, 6, or 8.

For the second digit, you only have a choice of the two you didn't use for the first digit.

For the third digit, you only have a choice of 1 or 3.

So, multiply 3(2)(2)=12.

The 3 digit numbers would be the following:

461, 463, 481, 483

641, 643, 681, 683

841, 843, 861, 863

 

Answer 2

Carol's answer is not correct, and my original answer is wrong (I ignored requirement to be ODD). Choose units position: two choices. Choose tens position: 4 other possibilities. Choose hundreds position: 3 choices. Altogether 2(4)(3) = 24.