Answer:
40951
Step-by-step explanation:
Using the principles of inclusion - Exclusion
Where C(n,r)=n!/(n-r)!r!
Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000
Total Number of elements in each pair including number repetition of sets is given as
=(1000) × C(5, 2) =10000
Number of elements in each triple of sets is given as
=(100) × C(5, 3) =1000
Number of elements in every four sets
=(10) × C(5, 4)=50
Number of elements in every one set
(1) × C(5, 5)=1
Therefore total number of unique elements=50000-10000+1000-50+1
=40951
Answer:
We have the next relation:
A = (b*d)/c
because we have direct variation with b and d, but inversely variation with c.
Now, if we have 3d instead of d, we have:
A' = (b*(3d))/c
now, we want A' = A. If b,c, and d are the same in both equations, we have that:
3bd/c = b*d/c
this will only be true if b or/and d are equal to 0.
If d remains unchanged, and we can play with the other two variables we have:
3b'd/c' = bd/c
3b'/c' = b/c
from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.
Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c
Answer:
(2) (100, 300)
Step-by-step explanation:
One wave can be divided on 4 parts, as show on the picture.
Since a length of one whole wave equals 400, a length of each part is 
nanometers.
The height of the wave is decreasing on the second and on the third part, hence over the interval (100, 300).
Answer:
RS 3127.166
RS 107.834
Step-by-step explanation:
6 month bill :
Drawn date = Feb, 3
Discounted date = March 3,
Difference = 1 month
6 month - 1 month = 5 months = 5 * 30 = 150 days
Value of the bill :
P(1 - rate * time)
3235(1 - 0.08 * 150/360)
3235(1 - 0.08 * 0.4166666)
3235(1 - 0.0333333)
3235(0.9666666)
= Rs3127.1666
Value of bill = 3127.166
Bankers gain = 3235 - 3127.166 = 107.834
Answer:
D) x=9 ; y=3√(3)
Step-by-step explanation:
~
Therefore, x=9 and y=3√(3)
~
