JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of seven digits odd numbers, that can be formed using all the seven digits \(1, 2, 2, 2, 3, 3, 5\) is \(.......\)
- A \(238\)
- B \(240\)
- C \(239\)
- D \(235\)
Answer & Solution
Correct Answer
(B) \(240\)
Step-by-step Solution
Detailed explanation
Digits are \(1,2,2,2,3,3,5\) If unit digit \(5\) , then total numbers \(=\frac{6 !}{3 ! 2 !}\) If unit digit \(3\) , then total numbers \(=\frac{6 !}{3 !}\) If unit digit \(1\) , then total numbers \(=\frac{6 !}{3 ! 2 !}\) \(\therefore\) total numbers \(=60+60+120=240\)
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