How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?

Question

Philoid · Accepted Answer

Even number means that last digit should be even,

No. of possible digits at one’s place = 3 (2, 4 and 6)

⇒ No. of permutations=

One of digit is taken at one’s place, Number of possible digits available =5

⇒ No. of permutations=

Therefore, total number of permutations =3 × 20=60.