Answer:
2520 patterns
Step-by-step explanation:
In 'n' 10! ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.
Therefore, for non identical arrangements:

= 2520
Therefore, the books can be arranged on a shelf in 2520 patterns
Answer:28 green and 35 red
Step-by-step explanation:
Given
If there are r red counter and g green counter then
Probability of drawing a green counter is 
and 
Thus 



Also if 4 red and 2 green counter is added the probability of drawing a green counter is





Substitute the value of g in equation (ii)[/tex]



Therefore 
Thus there 28 green counter and 35 red counter
Cut the 4 corners off and you will have an 8-sided octagon
Answer:
Here is the ans...hope it helps:)
Answer:
3 : 1
Step-by-step explanation:
We have to compare the value of two sides.
Ratio of sides = 12 : 4 = 
= 3 : 1