JEE Mains · Maths · STD 11 - 6. permutation and combination
The sum of all the four-digit numbers that can be formed using all the digits \(2,1,2,3\) is equal to \(.......\).
- A \(266665\)
- B \(26663\)
- C \(26664\)
- D \(26666\)
Answer & Solution
Correct Answer
(C) \(26664\)
Step-by-step Solution
Detailed explanation
\(2,1,2,3\) \(\text { Sum of digits of unit place }=3 \times 1+6 \times 2+3 \times 3\) \(=24\) \(\text { required sum }\) \(=24 \times 1000+24 \times 100+24 \times 10+24 \times 1\) \(=24 \times 1111\) \(\text { Ans } ; 26664\)
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