steven has 10 different shirts 6 different hats 4 different scarves. Steven thinks that if he picks just two of the three items
1 answer:
Answer: No, he is not correct
The number of combinations is 190
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Work Shown:
We have 10 shirts, 6 hats, and 4 scarves. This is 10+6+4 = 20 items total.
If we randomly pick out an item, then we have 20 to choose from. After selecting that first item, we have 20-1 = 19 items left to choose from.
So there are 20*19 = 380 different permutations. Order matters with permutations.
Since we aren't worried about order, this means that we've double counted so we have to divide by 2 to fix it.
So there are 380/2 = 190 combinations.
You can use the nCr combination formula with n = 20 and r = 2 to get the same result.
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Answer:
Minimum value of function is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :
Subject to constraints:
Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering , corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.
at A(0,9)
at B(3,9)
at C(3,6)
Minimum value of function is 63 occurs at point C (3,6).
