JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of \(7\)-\(digit\) numbers which are multiples of \(11\) and are formed using all the digits \(1,2,3,4,5,7\) and \(9\) is
- A \(457\)
- B \(635\)
- C \(576\)
- D \(485\)
Answer & Solution
Correct Answer
(C) \(576\)
Step-by-step Solution
Detailed explanation
Digits are \(1,2,3,4,5,7,9\) Multiple of \(11 \rightarrow\) Difference of sum at even and odd place is divisible by \(11\) . Let number of the form abcdefg \(\therefore( a + c + e + g )-( b + d + f )=11 x\) \(a + b + c + d + e + f =31\)…
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