How Many 6-digit Even Numbers Can Be Formed From The Digits 1, 2, 3,

1.	How Many 6-digit Even Numbers Can Be Formed From The Digits 1, 2, 3, 4, 5, 6 And 7 So That The Digits Should Not Repeat And The Second Last Digit Is Even ?
Answer» Let last DIGIT is 2 when SECOND last digit is 4 REMAINING 4 digits can be filled in 120 ways, SIMILARLY second last digit is 6 remained 4 digits can be filled in 120 ways. so for last digit = 2, total numbers=240 Similarly for 4 and 6 When last digit = 4, total no. of ways =240 and last digit = 6, total no. of ways =240 so total of 720 even numbers are possible. Let last digit is 2 when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways. so for last digit = 2, total numbers=240 Similarly for 4 and 6 When last digit = 4, total no. of ways =240 and last digit = 6, total no. of ways =240 so total of 720 even numbers are possible.

How Many 6-digit Even Numbers Can Be Formed From The Digits 1, 2, 3, 4, 5, 6 And 7 So That The Digits Should Not Repeat And The Second Last Digit Is Even ?

Answer»

Let last DIGIT is 2

when SECOND last digit is 4 REMAINING 4 digits can be filled in 120 ways,

SIMILARLY second last digit is 6 remained 4 digits can be filled in 120 ways.

so for last digit = 2, total numbers=240

Similarly for 4 and 6

When last digit = 4, total no. of ways =240

and last digit = 6, total no. of ways =240

so total of 720 even numbers are possible.

Let last digit is 2

when second last digit is 4 remaining 4 digits can be filled in 120 ways,

similarly second last digit is 6 remained 4 digits can be filled in 120 ways.

so for last digit = 2, total numbers=240

Similarly for 4 and 6

When last digit = 4, total no. of ways =240

and last digit = 6, total no. of ways =240

so total of 720 even numbers are possible.