Answer:
There are 8 ways.
Step-by-step explanation:
For each employee there are two possibilities: first office and second office.
Therefore,
the number of ways the company can assign 3 employees to 2 different offices will be :
= 8
We can also look at this problem like suppose ABC are employees.
We can arrange them like -
0 ABC
ABC 0
AB C
BC A
CA B
A BC
B CA
C AB
So, there are total 8 WAYS.
There are 80 nickels and 120 dimes and 300 quarters in piggy bank
<em><u>Solution:</u></em>
Given that,
For every 2 nickels there are 3 dimes ,
So, ratio of nickel to dime will be 2 : 3
Also for every 2 dimes there are 5 quarters
So, ratio of dime to quarters is 2 : 5
Let us first find the ratio of nickles to dimes to quarters
nickel : dime = 2 : 3
dime : quarters = 2 : 5
So,
Thus nickel : dime : quarters = 4 : 6 : 15
Now, let the number of nickel be 4x
Let the number of dimes be 6x
Let the number of quarters be 15x
From given question,
There are 500 coins in all.
number of nickel + number of dimes + number of quarters = 500
4x + 6x + 15x = 500
25x = 500
x = 20
Thus,
number of nickel = 4x = 4(20) = 80
number of dimes = 6x = 6(20) = 120
number of quarters = 15x = 15(20) = 300
Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank