Answer:
A) N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B)N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
Step-by-step explanation:
A) the number of ways a 3-person subcommittee be selected from a committee of 6 people N;
Since there is no given order for the selection, this means that the order of selection is irrelevant. Therefore, this is a combination problem where order is not considered.
N = nCr
N = 6C3
N = 6!/3!(6-3)! = 6!/3!3!
N = 720/(6×6)
N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B) the number of ways a president, vice president and secretary can be chosen from a committee of 6 people N;
In this case, there is a given order of selection for the 3 posts. This is a permutation.
N = nPr
N = 6P3
N = 6!/(6-3)!
N = 6!/3!
N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
The change of the cost changes when the pounds of ham changes. When the pounds of ham is 0, it costs 0 dollars. When the pounds of ham is 3, it costs 12 dollars. The cost changes consistently with the pounds of ham. They change together. Every time the pounds of ham goes up by 3, the cost goes up by 12.
Answer:
6*4*16=384
Step-by-step explanation:
ACB + BAC =90
ACB + 37 = 90
ACB = 53
Tan (53) = 10/x
X= 7.536
(Hope this helped have a great day)
Answer: 1
Order of operations:
add first (2 + 2)
Multiply ( 2 x (4))
Divide ( 8/(8))
= 1