SOLUTION: I have the following question that needs your asistance. Question Five identical balls are marked with 7, 3, 4, 2 1 and are placed in a box. The balls are thoroughly mixed b

Question 52049: I have the following question that needs your asistance.
Question
Five identical balls are marked with 7, 3, 4, 2 1 and are placed in a box. The balls are thoroughly mixed before three balls are drawn out at one time from the box. A score is obtained by adding the numbers on the three balls drawn. Find out how many different scores are possible and the possible scores.
Thank you very much.
CH Lam
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
I have the following question that needs your asistance.
Question
Five identical balls are marked with 7, 3, 4, 2 1 and are placed in a box. The balls are thoroughly mixed before three balls are drawn out at one time from the box. A score is obtained by adding the numbers on the three balls drawn. Find out how many different scores are possible and the possible scores.
Thank you very much.
THERE ARE 5 BALLS...CHOOSING 3 FROM 5 CAN BE DONE IN 5C3=5*4/2*1=10 WAYS..OR 10 SCORES ARE POSSIBLE..NOW TO THE SECOND PART..I GIVE YOU A SYSTEMATIC APPROACH ..
ARRANGE THEM IN INCREASING ORDER.....1,2,3,4,7...3 TO BE SELECTED..OK..TAKE FIRST 3 IN THE OORDER
1,2,3..=6.......ADD UP TO GET TOTALS
1,2,4=7
1,2,7=10
-----
1,3,4=8
1,3,7=11
---------
1,4,7=12
----------
2,3,4=9
2,3,7=12
-------------
2,4,7=13
------------
3,4,7=14
---------------YOU CAN ADD UP??
SO DIFFERENT SCORES POSSIBLE ARE..
6,7,8,9,10,11,12,13,14
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