Question

How many five-digit numbers formed using
the digit 0, 1, 2, 3, 4, 5 are divisible by 5 if
digits are not repeated?​

Answer 1

12345/5= 2489

Step-by-step explanation:

five digit no. is 12345 that is divisible by 5=2489 ans

Answer 2

The total number of ways are 216.

Step-by-step explanation:

Consider the provided information.

A number is divisible by 5 if it end with 0 or 5.

Case I: If the number is end with 0.

Then the number will look like this:  X X X X 0

(Here, X is any number except 0.)

For first place we have 5 choices, for second place we have 4 choices, for third place we have 3 choices, for fourth place we have 2 choices.

Thus, the number of ways: 5×4×3×2×1= 120.

Case II: If the number is end with 5.

Then the number will look like this:  X X X X 5

For first place we have 4 choices, as 0 can't be the first digit. For second place we have 4 choices, for third place we have 3 choices, for fourth place we have 2 choices.

Thus, the number of ways: 4×4×3×2×1= 96

Hence, the total number of ways are 120+96=216

Therefore, the total number of ways are 216.

#Learn more

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