How many four digit numbers that are divisible by 4 can be formed | Filo
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Class 11

Math

Algebra

Permutations and Combinations

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How many four digit numbers that are divisible by can be formed using the digits to if no digit is to occur more than once in any number?

Correct Answer: Option(b)
Solution:
We need to find digit numbers that are divisible by contain numbers to
Since the number is to be divisible by the last digits can only be one of the following:
For set There are possible ways for last digits. For the first digit cannot be used and also the digits already used for last digits. So we have choices for digit and then again remaining choices for digit.
Total
              
For set Last digits can be chosen from possibilities. First digits can be chosen from remaining numbers.
Total
             
             
Required
                     
Hence, the answer is

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