Suppose we want to choose 7 colors, without replacement, from 9 distinct colors
1 answer:
The number of ways to choose the colors is 36
<h3>How to determine the number of ways?</h3>The given parameters are:
Colors = 9
Colors to choose = 7
Since order does not matter, then it is combination
This is calculated using:
This gives
Evaluate
Hence, the number of ways is 36
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Answer:
The Nikes cost $125.
The Adidas cost $100
Step-by-step explanation:
Let :
- a = # of adidas shoes
- n = # of nike shoes
Solve the bottom equation for a:
- a + 2n = 350
- a = 350 - 2n
Now substitute this for a in the top equation:
- 3a + 4n = 800
- 3(350 - 2n) + 4n = 800
- 1050 - 6n + 4n = 800
- 1050 - 2n = 800
- -2n = -250
- n = 125
The Nikes costs $125.
We can also solve for the Adidas:
Use the previous equation we made:
- a = 350 - 2n
- a = 350 - 2(125)
- a = 350 - 250
- a = 100
The Adidas costs $100
-Chetan K