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How many 4 difit numbers are neither multiples of 2 nor multiples of 5

User SakisTsalk
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2 votes

Answer:

3600

Explanation:

if it is divisible by 2 then the number at the end must be also divisible by 2, so 0;2;4;6;8 can't be at the end of the number.

if it is divisible by 5 then the number at the end must be also divisible by 5, so 0 and 5 can't be at the end of the number.

now at the first digit we can have all the numbers from 1 to 9 (0 can't be the first number), so there are 9 options

at the second and third digit we can have all the numbers from 0 to 9, so there are 10 options

and at the last digit we can only have 1;3;7;9 so there are only 4 options.

and that makes it:


9 * 10 * 10 * 4 = 3600

User Zlajo
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