Mixing
How many different sums: probability
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I have six $1$ dollar bills, two $5$ dollar bills, and three $10$ dollar bills. How many different sums of money are possible?
So far I am thinking $3c$$_1$ + $3c$$_2$ + $3$$c_3$ would be the case if I had 1 of each. The addition of more is what is throwing me off.
probability combinations
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
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add a comment |
$begingroup$
I have six $1$ dollar bills, two $5$ dollar bills, and three $10$ dollar bills. How many different sums of money are possible?
So far I am thinking $3c$$_1$ + $3c$$_2$ + $3$$c_3$ would be the case if I had 1 of each. The addition of more is what is throwing me off.
probability combinations
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
$endgroup$
$begingroup$
Pst: They are just asking for how many sums it is possible to make, not how many different arrangements of bills make them.
$endgroup$
– Graham Kemp
Oct 7 '16 at 3:30
add a comment |
$begingroup$
I have six $1$ dollar bills, two $5$ dollar bills, and three $10$ dollar bills. How many different sums of money are possible?
So far I am thinking $3c$$_1$ + $3c$$_2$ + $3$$c_3$ would be the case if I had 1 of each. The addition of more is what is throwing me off.
probability combinations
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
$endgroup$
I have six $1$ dollar bills, two $5$ dollar bills, and three $10$ dollar bills. How many different sums of money are possible?
So far I am thinking $3c$$_1$ + $3c$$_2$ + $3$$c_3$ would be the case if I had 1 of each. The addition of more is what is throwing me off.
probability combinations
probability combinations
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
edited Oct 7 '16 at 3:57
naveen dankal
4,55921348
4,55921348
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
asked Oct 7 '16 at 3:13
Probsbecause2Probsbecause2
1
1
$begingroup$
Pst: They are just asking for how many sums it is possible to make, not how many different arrangements of bills make them.
$endgroup$
– Graham Kemp
Oct 7 '16 at 3:30
add a comment |
$begingroup$
Pst: They are just asking for how many sums it is possible to make, not how many different arrangements of bills make them.
$endgroup$
– Graham Kemp
Oct 7 '16 at 3:30
$begingroup$
Pst: They are just asking for how many sums it is possible to make, not how many different arrangements of bills make them.
$endgroup$
– Graham Kemp
Oct 7 '16 at 3:30
$begingroup$
Pst: They are just asking for how many sums it is possible to make, not how many different arrangements of bills make them.
$endgroup$
– Graham Kemp
Oct 7 '16 at 3:30
add a comment |
1 Answer
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$begingroup$
Hint: Certainly you can make $0 and $46. Can you make every quantity in between?
With four $1s, a $5, and all three $10s, you can make every quantity from $1 to $39. (Can you explain this?)
Then can you demonstrate how to fill the gap of $40 through $45?
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
$endgroup$
add a comment |
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1 Answer
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$begingroup$
Hint: Certainly you can make $0 and $46. Can you make every quantity in between?
With four $1s, a $5, and all three $10s, you can make every quantity from $1 to $39. (Can you explain this?)
Then can you demonstrate how to fill the gap of $40 through $45?
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
$endgroup$
add a comment |
$begingroup$
Hint: Certainly you can make $0 and $46. Can you make every quantity in between?
With four $1s, a $5, and all three $10s, you can make every quantity from $1 to $39. (Can you explain this?)
Then can you demonstrate how to fill the gap of $40 through $45?
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
$endgroup$
add a comment |
$begingroup$
Hint: Certainly you can make $0 and $46. Can you make every quantity in between?
With four $1s, a $5, and all three $10s, you can make every quantity from $1 to $39. (Can you explain this?)
Then can you demonstrate how to fill the gap of $40 through $45?
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
$endgroup$
Hint: Certainly you can make $0 and $46. Can you make every quantity in between?
With four $1s, a $5, and all three $10s, you can make every quantity from $1 to $39. (Can you explain this?)
Then can you demonstrate how to fill the gap of $40 through $45?
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
answered Oct 7 '16 at 3:23
Eric TowersEric Towers
32.7k22370
32.7k22370
add a comment |
add a comment |
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$begingroup$
Pst: They are just asking for how many sums it is possible to make, not how many different arrangements of bills make them.
$endgroup$
– Graham Kemp
Oct 7 '16 at 3:30