Answer:
A) 56
B) 21
Step-by-step explanation:
A) The number of delegations possible is given by;
C(n,r) = n!/[(n - r)!(r!)]
In this question, n = 8 and r =3
Thus,
C(8,3) = 8!/[(8 - 3)!(3!)] = 56
B) Since a particular member must be in the delegation, the number of outcomes will now be;
C(n, r) - C(n-1,r)
Thus, we have;
C(8,3) - C(7,3)
= 56 - [7!/[(7 - 3)!(3!)]
= 56 - 35 = 21
Write 2 equations:
a +b = 39
and b = 1/2a + 6
Now replace b in the first equation with the second one:
a + 1/2a + 6 = 39
Combine like terms:
1 1/2a + 6 = 39
Subtract 6 from each side:
1 1/2a = 33
Divide both sides by 1 1/2:
a = 33 / 1 1/2 = 33 / 1.5
a = 22
Now replace a with 22 in the first equation and solve for b:
22 + b = 39
b = 39 -22
b = 17
The two numbers are 17 and 22.
Answer:
4096
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
because its 1 10x0+1=1
Answer:
C. 75 restaurant customers
Step-by-step explanation:
With the way the graph is laid out 75 restaurant customers seems to be the most logical answer.