The total number of three-digit numbers, divisible by 3 , which c… - Vidyadip

MCQ

The total number of three-digit numbers, divisible by $3$ , which can be formed using the digits $1,3,5,8$ , if repetition of digits is allowed, is:

✓
$22$
B
$18$
C
$21$
D
$20$

✓

Answer

Correct option: A.

$22$

a
$(1,1,1) \quad(3,3,3) \quad(5,5,5) \quad(8,8,8)$

$(5,5,8) \quad(8,8,5) \quad(1,3,5) \quad(1,3,8)$

$\text { Total number }=1+1+1+1+\frac{3 !}{2 !}+\frac{3 !}{2 !}+3 !+3 !=22$

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