Tip:A–D to answerE for explanationV for videoS to reveal answer
The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1,3,5,7,9 without repetition, is
- A.
12
- B.
120
- C.
72
(Correct Answer) - D.
6
Explanation
Solution
Digits: {1,3,5,7,9}
Range: 5000 < \text{Number} < 10000 (4-digit number)
Step 1: Thousand's Place
Available digits: {5,7,9}
Step 2: Remaining 3 Places
Remaining digits = 5−1=4
Step 3: Total Numbers
Correct Option: (3)
Explanation
Solution
Digits: {1,3,5,7,9}
Range: 5000 < \text{Number} < 10000 (4-digit number)
Step 1: Thousand's Place
Available digits: {5,7,9}
Step 2: Remaining 3 Places
Remaining digits = 5−1=4
Step 3: Total Numbers
Correct Option: (3)