JEE Main 202528 JanuaryMorning Shift
- Exam
- JEE Main
- Year
- 2025
- Date
- 28 January
- Shift
- Morning Shift
- Subject
- Mathematics
- Chapter
- Permutation and Combination
JEE Main 2025 · 28 January · Morning Shift · Mathematics · Permutation and Combination
The number of different 5 digit numbers greater than 50000 that can...
The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , , such that the sum of their first and last digits should not be more than 8 , is
Options
- A4608
- B5720
- C5719
- D4607
Correct answer
D. 4607
Step-by-step solution
$\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)=46084608-1=4607