A five-digit number divisible by is to be formed using the digit without repetition,
The number of ways this can be done is _______
Explanation for the correct option:
Step1. Define the divisibility rule for
When the sum of the digits of a number is a multiple of then the number is divisible by .
Step2. Calculate the number of ways for all possibilities
Case1. When digits are
Zero cannot be placed in the first place to form a five-digit number
Number of ways using
…(1)
Case2. When digits are
Number of ways using
…(2)
Step3. Calculate the total number of ways.
Add (1) and (2)
Total number of ways
Hence, Option (A) is the correct answer.