You-have-unlimited-number-of-1kg-5kg-10kg-and-25-kg-weights-In-how-many-ways-you-can-create-a-total-of-43kg-For-example-43-1-5-8-3-2-etc-

Question Number 3216 by prakash jain last updated on 07/Dec/15

You have unlimited number of 1 kg, 5 kg

10 kg and 25 kg weights . In how many ways

you can create a total of 43 kg .

For example

43 \times 1

5 \times 8 + 3 \times 2

etc .

Answered by Rasheed Soomro last updated on 07/Dec/15

25 k g m a y b e p a r t o f 43 i n 2 w a y s

o n c e, 0 t i m e s

10 k g m a y b e p a r t o f 43 i n 5 w a y s

o n c e, t w i c e, t h r i c e, 4 t i m e s

5 k g m a y b e c o n t a i n e d i n 9 w a y s

0 t i m e s \dots 8 t i m e s

1 k g m a y b e c o n t a i n e d i n 43 i n 43 w a y s

o n c e, t w i c e, \dots 43 t i m e s

\underline{\overset{―}{25 10 5 1}}

0 0 0 43

1 38

2 33

3 28

4 23

5 18

6 13

7 8

8 3

1 0 33

1 28

2 23

3 18

4 13

5 8

6 3

2 0 23

1 18

2 13

3 8

4 3

3 0 13

1 8

2 3

4 0 3

1 0 0 18

1 13

2 8

3 3

1 0 8

1 3

- - - - - - - - - - - -

N u m b e r o f r o w s = 31

43 k g c a n b e w e i g h e d i n 31 w a y s .

C o n t i n u e

(S e l f e x p l a n a t o r y)