TS EAMCET · Maths · Permutation Combination
Among the 4-digit numbers that can be formed using the digits \(1,2,3,4,5,6\) without repeating any digit, the number of numbers which are divisible by 6 is
- A 60
- B 66
- C 52
- D 57
Answer & Solution
Correct Answer
(A) 60
Step-by-step Solution
Detailed explanation
Since number divisible by 6 i.e. divisible by 2 and 3 . For divisible by 2 units place of number contains \(2,4,6\). For divisible by 3 , the sum of digits is divisible by 3 . Case I: If units place is 2 . Then rest 3 digits may be \((1,4,5),(1,3,6),(3,4,6)\) \(\therefore\)…
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