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. 
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
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1,3,4=8
1,3,7=11
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1,4,7=12

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2,3,4=9
2,3,7=12
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2,4,7=13
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3,4,7=14
---------------YOU CAN ADD UP??

SO DIFFERENT SCORES POSSIBLE ARE..
6,7,8,9,10,11,12,13,14