AP EAMCET · Maths · Permutation Combination
5 digit numbers are formed by using the digits \(0,1,2,3,5,7\) without repetetion and all of them are arranged in ascending order. Then the rank of the number 70513 is
- A 500
- B 499
- C 497
- D 503
Answer & Solution
Correct Answer
(A) 500
Step-by-step Solution
Detailed explanation
1st digit < 7: \(4 \times P(5,4) = 4 \times 120 = 480\) 1st digit 7, 2nd digit 0, 3rd digit < 5: \(3 \times P(3,2) = 3 \times 6 = 18\) 1st digit 7, 2nd digit 0, 3rd digit 5, 4th digit < 1: \(0\) 1st digit 7, 2nd digit 0, 3rd digit 5, 4th digit 1, 5th digit < 3: \(1\) Total…
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