AP EAMCET · Maths · Permutation Combination
How many numbers between 10 and 10000 can be formed by using the digits \(1,2,3,4,5\), if no digit is repeated in any number?
- A 200
- B 775
- C 60
- D 120
Answer & Solution
Correct Answer
(A) 200
Step-by-step Solution
Detailed explanation
Number of ways of forming two digit number \[ =5 \times 4=20 \] Number of ways of forming three digit number \[ =5 \times 4 \times 3=60 \] Number of ways of forming four digit number \[ =5 \times 4 \times 3 \times 2=120 \] Hençe, the required number of ways \[ =20+60+120=200 \]
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