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An Earth scientist is testing how various soil mixtures affect plant growth. She begins with 10 solltypes. For each mixture, she combines equal amounts of
types
How many soll mixtures must the scientist create in order to test all possible combinations of the 10 sol types?

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Answer:

The soil mixtures must the scientist

create in order to test all possible combinations of the 10 soil types - b. 45 .

Given

Soil samples = 1. , 2. , 3. , 4. , 5. , 6. , 7. , 8. , 9. , 10 each mixture must have two

sample

Solution

• We have to mix 2 soils in equal amounts then , the total number of possible soil mixtures are:-

• 1 and 2 , 1 and 3 , 1 and 4 , 1 and 5 , 1

and 6 , 1 and 7 , 1 and 8 , 1 and 9 , 1 and

10 = 9

• 2 and 3 , 2 and 4 , 2 and 5 , 2 and 6 , 2 and 7 , 2 and 8 , 2 and 9 , 2 and 10 = 7

• 3 and 4 , 3 and 5 , 3 and 6 , 3 and 7 , 3 and 8 , 3 and 9 , 3 and 10 = 7

• 4 and 5 , 4 and 6 , 4 and 7 , 4 and 8 , 4 and 9 , 4 and 10 = 6

• 5 and 6 , 5 and 7 , 5 and 8 , 5 and 9 , 5 and 10 = 5

• 6 and 7 , 6 and 8 , 6 and 9 , 6 and 10 = 4

• 7 and 8 , 7 and 9 , 7 and 10 = 3

• 8 and 9 , 8 and 10 = 2

• 9 and 10 = 1

9+8+7+6+5+4+3+2+1 = 45

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