Mrs Maypa went to a grocery store to buy the following: flour, sugar, milk, and butter. Upon reaching the grocery, she found out that her money is just enough to buy any three of these items. In how many ways can she select the 3 items?
a) List of possible selection.
b) For each of these selections: flour, sugar and milk, in how many ways can she select the 3 items?
c) All in all, how many selections are there?
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On a circle there are 11 points selected. How many triangles with edges exists with these points?
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b.1 way
Formula of Combination
nCr=n!/(n-r)! r!
3C3=3!/(3-3)! 3!
3C3=3!/0! 3!
3C3=3!/3!
3C3=1 way
c.There are 4 selections
11 points selected,which is n
Triangles equivalent to 3 sides,which is r
Using Formula of Combination
nCr=n!/(n-r)! r!
11C3=11!/(11-3)! 3!
11C3=11!/8! 3!
11C3=11×10×9×8!/8! 3!,cancelled out 8!
11C3=11×10×9/3×2×1
11C3=990/6
11C3=165 ways
Answer:
a. flour, sugar, milk, and butter
b. she found out that her money is just enough to buy any three of these items
c. flour, sugar, milk
Butter is a dairy product made from the fat and protein components of milk or cream. It is a semi-solid emulsion at room temperature, consisting of approximately 80% butterfat.
a) k-combinations from a set with n elements (without repetition)
k-combinations from a set of n elements (without repetition) is an unordered collection of k distinct elements taken from a given set.
b) k-combinations from a set with n elements (with repetition)
k-combinations from a set of n elements (without repetition) is an unordered collection of k not necessarily distinct elements taken from a given set.