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  • 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  <s

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

 

Option: 1

144


Option: 2

72


Option: 3

288


Option: 4

720


Answers (1)

best_answer

Terminal digits are the first and last digits.
\because Terminal digits are even
\therefore Ist 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 \text { ways. }

Hence, the number of six digit numbers, the terminal digits are even, is =3 \times 120 \times 2=720

Posted by

Shailly goel

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