Question

How many three-digit numbers divisible by 3 may be formed out of the digits 2, 3, 4 and 6 if the digits are not to be repeated? Select one: a. 6 b. 12 c. 36 d. 24

Answer 1

As much i have tried i found that it is 24 but still confused between 24 and 36.

Answer 2

Answer:

The correct answer is D. 24

Step-by-step explanation:

The digits which are given to form the required number are : 2, 3, 4, 6

Sum of digits = 2 + 3 + 4 + 6 = 15

Now, 15 is divisible by 3 so all the digits can be used to form a 3 digit number which will be divisible by 3

So, Choice for the first digit = 4

Since, No repetition is allowed so choice for the second digit = 3

Also, Choice for the third digit = 2

Now, Number of required three digit numbers = 4 × 3 × 2

                                                                                = 24

Therefore, The correct answer is D. 24