Distinct Sum

Probability Level 1

How many distinct values are there in the following list of 15 numbers:

1 , 2 , 3 , 4 , 1 + 2 , 1 + 3 , 1 + 4 , 2 + 3 , 2 + 4 , 3 + 4 , 1 + 2 + 3 , 1 + 2 + 4 , 1 + 3 + 4 , 2 + 3 + 4 , 1 + 2 + 3 + 4 ? \begin{array}{cccc} 1, & 2, & 3, & 4, \\ 1+2, &1+3, & 1+4, & 2+3, \\ 2+4, &3+4, &1+2+3,& 1+2+4, \\ 1+3+4, & 2+3+4, & 1+2+3+4? & \\ \end{array}


The answer is 10.

Arron Kau by Arron Kau

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2 solutions

di jumlah aja

1,2, 3,4 3,4,5,5 6,7,6,7 8,9,10

Bilangan yang berbeda adalah 1,2,3,4,5,6,7,8,9,10

Answer: 10

2 Helpful 0 Interesting 0 Brilliant 0 Confused

sorry..i missed last one :(

Prathap Veera - 7 years, 6 months ago
Uthy Rapathy
Dec 14, 2013

1=1, 2=2, 3=3 ,4=4, 1+2=3, 1+3=4, 1+4=5 ,2+3=5, 2+4=6, 3+4=7, 1+2+3=6 ,1+2+4=7, 1+3+4=8 ,2+3+4=9 ,1+2+3+4=10 therefore collections of numbers {1,2,3,4,5,6,7,8,9,10} the total number is 10

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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