TS EAMCET · Maths · Permutation Combination
All possible 5 digit numbers each having 5 distinct digits are formed using digits \(1,2,3,5,6,8\). Among them, the number of numbers which are divisible by 3 but not by 6 is
- A 120
- B 72
- C 48
- D 240
Answer & Solution
Correct Answer
(C) 48
Step-by-step Solution
Detailed explanation
\(1,2,3,5,6,8\) To form number divisible by 3 , they must contain \((2,3,5,6,8)\) and if it is not divisible by 6 , hence it must be odd. \(\overline{4} \times \overline{3} \times \overline{2} \times \overline{1} \times \overline{2}=4 ! \times 2\) ways \(=48\) ways
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