Answer:
There are 12 ways to make change for a $50 bill using $5, $10 and $20 bills
Step-by-step explanation:
Let's write down every possibility starting by using the largest quantity of $20 bills and we'll go from there, everytime that we get a $10 bill we will split it in the next option into 2 $5 bills.
(20)(20)(10)
(20)(20)(5)(5)
(20) (10)(10)(10)
(20)(10)(10)(5)(5)
(20)(10)(5)(5)(5)(5)
(20)(5)(5)(5)(5)(5)(5)
Now we start with the largest quantity of $10 bills (5) and go from there, splitting them into two 5 dollar bills in the next option.
(10)(10)(10)(10)(10)
(10)(10)(10)(10)(5)(5)
(10)(10)(10)(5)(5)(5)(5)
(10)(10)(5)(5)(5)(5)(5)(5)
(10)(5)(5)(5)(5)(5)(5)(5)(5)
(5)(5)(5)(5)(5)(5)(5)(5)(5)(5)
Answer:
32767 distinct color grouping
Step-by-step explanation:
Given data:
Total tube is 13
for distinct color, group can be 1,2,3,4,.... 15
For total number of ways we have following relation

here n = 13 so we have

for at least one


= 32767 distinct color grouping
Answer:
The answer is the 2nd one im pretty sure
Step-by-step explanation:
Answer:

Step-by-step explanation:
You are correct down to the part where you add the partial results:
