JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , \(1,2,3,4,5,6,7\), such that the sum of their first and last digits should not be more than 8 , is
- A 4608
- B 5720
- C 5719
- D 4607
Answer & Solution
Correct Answer
(D) 4607
Step-by-step Solution
Detailed explanation
\(\begin{array}{lll} \text { Case I } & 5 \ldots \ldots & 0 \\ \text { Case II } & 5 \ldots \ldots & \\ & 5 & 1 \\ & 5 & 3 \\ & 6 & 0 \\ & 6 & 1 \\ & 6 & 2 \\ & 7 & 0 \\ & 7 & 1 \end{array}\) \(9 \times(8 \times 8 \times 8)=4608\) but 50000 is not included, so total numbers…
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