JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of permutations, of the digits \(1,2,3,...7\) without repetition, which neither contain the string \(153\) nor the string \(2467\), is \(........\).
- A \(4897\)
- B \(4896\)
- C \(4895\)
- D \(4898\)
Answer & Solution
Correct Answer
(D) \(4898\)
Step-by-step Solution
Detailed explanation
Digits \(\rightarrow 1,2,3,4,5,6,7\) Total permutations \(=7\) ! Let \(A=\) number of numbers containing string \(153\) Let \(B=\) number of numbers containing string \(2467\) \(n ( A )=5 ! \times 1 \quad 153 \quad 2467\) \(n ( B )=4 ! \times 1 \quad 2467 \quad 135\)…
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