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Solution


Q.

The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9 without repetition, is            [2023]
1 72   
2 120  
3 6  
4 12  

Ans.

(1)

Number of numbers lies between 5000 and 10000 are 4 digit numbers greater than 5000 so, the first digit can be filled in 3 ways (using 5, 7, 9) and as repetition is not allowed, the other choices are 4, 3, 2.

Total number of number = 3 × 4 × 3 × 2 = 72