1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of six-digit numbers that can be formed from the digits 1, 2, 3, 4, 5, 6 and 7, so that digits do not repeat and the terminal digits are even is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The number of six-digit numbers that can be formed from the digits $ 1, 2, 3, 4, 5, 6$ and $7$, so that digits do not repeat and the terminal digits are even is

Bihar CECEBihar CECE 2013

Solution:

Terminal digits are the first and last digits. Since, terminal digits are even.
$\therefore \,1\,st$ place can be filled in $3$ ways and last place can be filled in $2$ ways and remaining places can be filled in
${ }^{5} P_{4}=120$ ways
Hence, the number of six digit number, the terminal digits are even, is $3 \times 120 \times 2=720$.