Which matrix equation represents the system of equations
2 answers:
Answer:
option B is correct
To write any equations in the form of matrix
first make a matrix of all coefficients of that equations.. here coefficients of first equation is 4 and - 2 and that of second is 0 ( as there is no value of X) and 3
then make second matrix of X and y
last of answer of the equations, here (-7 ) and 5
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There are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop. (at least one donut of every variety must be selected)
<h3>How to calculate the number of ways to select items?</h3>There are 'r' items from 'n' different varieties (repetition allowed). Then, the number of ways to select items is given by
The number of ways =
Where the combination is calculated as
It is given that there are 4 varieties of donuts in a shop. I.e., n = 4
Number of donuts to be selected r = 12 (one dozen)
And also given that at least one donut of every variety has to be selected.
Since there are 4 varieties, at least one from each of these means the count is 4.
So, the remaining number of donuts to be selected is 12 - 4 = 8.
So, r becomes 8 i.e., r = 8
On substituting,
the number of ways of selecting the remaining 8 donuts =
⇒
⇒
⇒
⇒ 330
Therefore, there are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop.
Learn more about combinations here:
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