# Sum of 5 digit number(II)

#### jacks

##### Well-known member
The Total Sum of $5$ Digit no. which can be formed with the Digit $0,0,1,1,2,2,3,3,4,4,4,5,6$

[a] without Repetition of Digit.

with Repetition of Digit

#### Sudharaka

##### Well-known member
MHB Math Helper
The Total Sum of $5$ Digit no. which can be formed with the Digit $0,0,1,1,2,2,3,3,4,4,4,5,6$

[a] without Repetition of Digit.

with Repetition of Digit

Hi jacks,

I don't understand why you have repeated the digits. Is your problem,

"Find the Total sum of $5$ digit numbers which can be formed with the digits $0,1,2,3,4,5,6$" ?

#### jacks

##### Well-known member
Oh Sorry Sudhakara The question is

The Sum of $5$ Digit no. using the Digi $1,2,2,3,4,5,5$

My Try: I have formed Three cases

(I) When all Digits are Distinct

(II) When Two are same like $22134,22135,12355,12455$

(II) When two are of one kind and other two are of other kind. like $2255$

But I Did not Understand How can I calculate sum in (II) and (III) cases.

plz help me . Thanks