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10C4 represent the Combinations of 10 objects taken 4 at a time.
The formula for nCr is:
In the given case, n=10 and r=4. Using these values we get:
This means we can make 210 combinations of 10 objects taken 4 at a time.
The formula for nCr is:
In the given case, n=10 and r=4. Using these values we get:
This means we can make 210 combinations of 10 objects taken 4 at a time.
Answer:
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of short-sleeved shirts sold.
y is the number of long-sleeved shirts sold.
A department store sold 51 shirts one day.
This means that
All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.
This means that
How many of each kind of shirt were sold?
We have to solve the system of equations.
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28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Given:
The system of equations is:
Line A:
Line B:
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get
Divide both sides by 2.
Substituting in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting in the given equations.
This statement is true.
Similarly,
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.