Using the digits 1 to 6, with no digit repeated, how many three-digit EVEN numbers can be formed?

30Correct answerYour answer60Correct answerYour answer108Correct answerYour answer120Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Fill the restricted place first: the units digit must be 2, 4 or 6, so 3 choices.
The hundreds digit then has 5 choices and the tens digit 4.
Even numbers $= 3 \times 5 \times 4 = 60$ .

Worth noting

120 counts all three-digit numbers without the even condition. 108 is $6 \times 6 \times 3$ , which allows repetition.

Ten questions from Counting and Basic Probability, at your own pace.

Ten questions from Counting and Basic Probability, at your own pace.

Explanation