The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1 , 3 , 5 , 7 , 9 without repetition, is

Step-by-step solution

Given, Numbers 1 , 3 , 5 , 7 , 9 Now to form number between 5000 - 10000 _ ⏟ 5 , 7 , 9 _ ⏟ 4   ways _ ⏟ 3   ways _ ⏟ 2   ways Here at 1000 ' s place should be taken by 5 ,   7   &   9 So for 1000 ' s place there will be 3 ways, Now for hundredth place there will be 4 ways, For ten's place there will be 3 ways, And for unit place there will be 2 ways, So total ways will be 3 × 4 × 3 × 2 = 72 ways.