Answer: 34,560
Step-by-step explanation:
Total crayons of different color = 12
Total children = 3
Each child will get 4 crayons.
Number of combinations of selecting <em>r</em> things out of <em>n</em> things = 
The number of ways of selecting the first 4 crayons for first child = 
Colors left = 12-4 =8
Now, the again selecting 4 colors out of 8 for second child = 
Colors left =4
Number of ways of selecting 4 colors out of 4 for third child =1
Total number of ways = 495 x 70 x 1 = 34650 [By fundamental principle of counting]
Hence, the total number of ways = 34,560.
Answer:
300000 × 300000
Step-by-step explanation:
You add zeros to the number without the exponent (in this case '3') based on the exponent number (in this case '5').
Answer:
The minimum is -5
The range is 
f(14) = 2739
Step-by-step explanation:
Given

Solving (a): The minimum
A quadratic function is represented as:

If a > 0, then the function has a minimum
By comparison
--- the function has a minimum


To calculate the minimum, we first calculate the following is calculated as:

So, we have:


So, the minimum is at f(m)
We have: 


Solving (b): The range
In (a), we have:
--- the minimum
This implies that the smallest value of y on the graph is -5.
So, the range is:

Solving (c): f(14)
We have:

So:


Answer:
Construct one angle bisector of the triangle
Step-by-step explanation: