You can
put this solution on YOUR website! You have 30 fair tickets and each rides cost 1through 5 tickets. How many combinations are there? Explain the equation and make a chart/graph plus show all work
Let a = the number of rides that cost 1 ticket.
Let b = the number of rides that cost 2 tickets.
Let c = the number of rides that cost 3 tickets.
Let d = the number of rides that cost 4 tickets.
Let e = the number of rides that cost 5 tickets.
a+2b+3c+4d+5e = 30
Here's a chart of all 674 different ways you can spend
your 30 fair tickets, starting with 6 5-ticket rides
all the way through 30 1-ticket rides. That's a pretty
big assignment!
a b c d e
--------------
0 0 0 0 6
0 0 0 5 2
0 0 1 3 3
0 0 2 1 4
0 0 2 6 0
0 0 3 4 1
0 0 4 2 2
0 0 5 0 3
0 0 6 3 0
0 0 7 1 1
0 0 10 0 0
0 1 0 2 4
0 1 0 7 0
0 1 1 0 5
0 1 1 5 1
0 1 2 3 2
0 1 3 1 3
0 1 4 4 0
0 1 5 2 1
0 1 6 0 2
0 1 8 1 0
0 2 0 4 2
0 2 1 2 3
0 2 2 0 4
0 2 2 5 0
0 2 3 3 1
0 2 4 1 2
0 2 6 2 0
0 2 7 0 1
0 3 0 1 4
0 3 0 6 0
0 3 1 4 1
0 3 2 2 2
0 3 3 0 3
0 3 4 3 0
0 3 5 1 1
0 3 8 0 0
0 4 0 3 2
0 4 1 1 3
0 4 2 4 0
0 4 3 2 1
0 4 4 0 2
0 4 6 1 0
0 5 0 0 4
0 5 0 5 0
0 5 1 3 1
0 5 2 1 2
0 5 4 2 0
0 5 5 0 1
0 6 0 2 2
0 6 1 0 3
0 6 2 3 0
0 6 3 1 1
0 6 6 0 0
0 7 0 4 0
0 7 1 2 1
0 7 2 0 2
0 7 4 1 0
0 8 0 1 2
0 8 2 2 0
0 8 3 0 1
0 9 0 3 0
0 9 1 1 1
0 9 4 0 0
0 10 0 0 2
0 10 2 1 0
0 11 0 2 0
0 11 1 0 1
0 12 2 0 0
0 13 0 1 0
0 15 0 0 0
1 0 0 1 5
1 0 0 6 1
1 0 1 4 2
1 0 2 2 3
1 0 3 0 4
1 0 3 5 0
1 0 4 3 1
1 0 5 1 2
1 0 7 2 0
1 0 8 0 1
1 1 0 3 3
1 1 1 1 4
1 1 1 6 0
1 1 2 4 1
1 1 3 2 2
1 1 4 0 3
1 1 5 3 0
1 1 6 1 1
1 1 9 0 0
1 2 0 0 5
1 2 0 5 1
1 2 1 3 2
1 2 2 1 3
1 2 3 4 0
1 2 4 2 1
1 2 5 0 2
1 2 7 1 0
1 3 0 2 3
1 3 1 0 4
1 3 1 5 0
1 3 2 3 1
1 3 3 1 2
1 3 5 2 0
1 3 6 0 1
1 4 0 4 1
1 4 1 2 2
1 4 2 0 3
1 4 3 3 0
1 4 4 1 1
1 4 7 0 0
1 5 0 1 3
1 5 1 4 0
1 5 2 2 1
1 5 3 0 2
1 5 5 1 0
1 6 0 3 1
1 6 1 1 2
1 6 3 2 0
1 6 4 0 1
1 7 0 0 3
1 7 1 3 0
1 7 2 1 1
1 7 5 0 0
1 8 0 2 1
1 8 1 0 2
1 8 3 1 0
1 9 1 2 0
1 9 2 0 1
1 10 0 1 1
1 10 3 0 0
1 11 1 1 0
1 12 0 0 1
1 13 1 0 0
2 0 0 2 4
2 0 0 7 0
2 0 1 0 5
2 0 1 5 1
2 0 2 3 2
2 0 3 1 3
2 0 4 4 0
2 0 5 2 1
2 0 6 0 2
2 0 8 1 0
2 1 0 4 2
2 1 1 2 3
2 1 2 0 4
2 1 2 5 0
2 1 3 3 1
2 1 4 1 2
2 1 6 2 0
2 1 7 0 1
2 2 0 1 4
2 2 0 6 0
2 2 1 4 1
2 2 2 2 2
2 2 3 0 3
2 2 4 3 0
2 2 5 1 1
2 2 8 0 0
2 3 0 3 2
2 3 1 1 3
2 3 2 4 0
2 3 3 2 1
2 3 4 0 2
2 3 6 1 0
2 4 0 0 4
2 4 0 5 0
2 4 1 3 1
2 4 2 1 2
2 4 4 2 0
2 4 5 0 1
2 5 0 2 2
2 5 1 0 3
2 5 2 3 0
2 5 3 1 1
2 5 6 0 0
2 6 0 4 0
2 6 1 2 1
2 6 2 0 2
2 6 4 1 0
2 7 0 1 2
2 7 2 2 0
2 7 3 0 1
2 8 0 3 0
2 8 1 1 1
2 8 4 0 0
2 9 0 0 2
2 9 2 1 0
2 10 0 2 0
2 10 1 0 1
2 11 2 0 0
2 12 0 1 0
2 14 0 0 0
3 0 0 3 3
3 0 1 1 4
3 0 1 6 0
3 0 2 4 1
3 0 3 2 2
3 0 4 0 3
3 0 5 3 0
3 0 6 1 1
3 0 9 0 0
3 1 0 0 5
3 1 0 5 1
3 1 1 3 2
3 1 2 1 3
3 1 3 4 0
3 1 4 2 1
3 1 5 0 2
3 1 7 1 0
3 2 0 2 3
3 2 1 0 4
3 2 1 5 0
3 2 2 3 1
3 2 3 1 2
3 2 5 2 0
3 2 6 0 1
3 3 0 4 1
3 3 1 2 2
3 3 2 0 3
3 3 3 3 0
3 3 4 1 1
3 3 7 0 0
3 4 0 1 3
3 4 1 4 0
3 4 2 2 1
3 4 3 0 2
3 4 5 1 0
3 5 0 3 1
3 5 1 1 2
3 5 3 2 0
3 5 4 0 1
3 6 0 0 3
3 6 1 3 0
3 6 2 1 1
3 6 5 0 0
3 7 0 2 1
3 7 1 0 2
3 7 3 1 0
3 8 1 2 0
3 8 2 0 1
3 9 0 1 1
3 9 3 0 0
3 10 1 1 0
3 11 0 0 1
3 12 1 0 0
4 0 0 4 2
4 0 1 2 3
4 0 2 0 4
4 0 2 5 0
4 0 3 3 1
4 0 4 1 2
4 0 6 2 0
4 0 7 0 1
4 1 0 1 4
4 1 0 6 0
4 1 1 4 1
4 1 2 2 2
4 1 3 0 3
4 1 4 3 0
4 1 5 1 1
4 1 8 0 0
4 2 0 3 2
4 2 1 1 3
4 2 2 4 0
4 2 3 2 1
4 2 4 0 2
4 2 6 1 0
4 3 0 0 4
4 3 0 5 0
4 3 1 3 1
4 3 2 1 2
4 3 4 2 0
4 3 5 0 1
4 4 0 2 2
4 4 1 0 3
4 4 2 3 0
4 4 3 1 1
4 4 6 0 0
4 5 0 4 0
4 5 1 2 1
4 5 2 0 2
4 5 4 1 0
4 6 0 1 2
4 6 2 2 0
4 6 3 0 1
4 7 0 3 0
4 7 1 1 1
4 7 4 0 0
4 8 0 0 2
4 8 2 1 0
4 9 0 2 0
4 9 1 0 1
4 10 2 0 0
4 11 0 1 0
4 13 0 0 0
5 0 0 0 5
5 0 0 5 1
5 0 1 3 2
5 0 2 1 3
5 0 3 4 0
5 0 4 2 1
5 0 5 0 2
5 0 7 1 0
5 1 0 2 3
5 1 1 0 4
5 1 1 5 0
5 1 2 3 1
5 1 3 1 2
5 1 5 2 0
5 1 6 0 1
5 2 0 4 1
5 2 1 2 2
5 2 2 0 3
5 2 3 3 0
5 2 4 1 1
5 2 7 0 0
5 3 0 1 3
5 3 1 4 0
5 3 2 2 1
5 3 3 0 2
5 3 5 1 0
5 4 0 3 1
5 4 1 1 2
5 4 3 2 0
5 4 4 0 1
5 5 0 0 3
5 5 1 3 0
5 5 2 1 1
5 5 5 0 0
5 6 0 2 1
5 6 1 0 2
5 6 3 1 0
5 7 1 2 0
5 7 2 0 1
5 8 0 1 1
5 8 3 0 0
5 9 1 1 0
5 10 0 0 1
5 11 1 0 0
6 0 0 1 4
6 0 0 6 0
6 0 1 4 1
6 0 2 2 2
6 0 3 0 3
6 0 4 3 0
6 0 5 1 1
6 0 8 0 0
6 1 0 3 2
6 1 1 1 3
6 1 2 4 0
6 1 3 2 1
6 1 4 0 2
6 1 6 1 0
6 2 0 0 4
6 2 0 5 0
6 2 1 3 1
6 2 2 1 2
6 2 4 2 0
6 2 5 0 1
6 3 0 2 2
6 3 1 0 3
6 3 2 3 0
6 3 3 1 1
6 3 6 0 0
6 4 0 4 0
6 4 1 2 1
6 4 2 0 2
6 4 4 1 0
6 5 0 1 2
6 5 2 2 0
6 5 3 0 1
6 6 0 3 0
6 6 1 1 1
6 6 4 0 0
6 7 0 0 2
6 7 2 1 0
6 8 0 2 0
6 8 1 0 1
6 9 2 0 0
6 10 0 1 0
6 12 0 0 0
7 0 0 2 3
7 0 1 0 4
7 0 1 5 0
7 0 2 3 1
7 0 3 1 2
7 0 5 2 0
7 0 6 0 1
7 1 0 4 1
7 1 1 2 2
7 1 2 0 3
7 1 3 3 0
7 1 4 1 1
7 1 7 0 0
7 2 0 1 3
7 2 1 4 0
7 2 2 2 1
7 2 3 0 2
7 2 5 1 0
7 3 0 3 1
7 3 1 1 2
7 3 3 2 0
7 3 4 0 1
7 4 0 0 3
7 4 1 3 0
7 4 2 1 1
7 4 5 0 0
7 5 0 2 1
7 5 1 0 2
7 5 3 1 0
7 6 1 2 0
7 6 2 0 1
7 7 0 1 1
7 7 3 0 0
7 8 1 1 0
7 9 0 0 1
7 10 1 0 0
8 0 0 3 2
8 0 1 1 3
8 0 2 4 0
8 0 3 2 1
8 0 4 0 2
8 0 6 1 0
8 1 0 0 4
8 1 0 5 0
8 1 1 3 1
8 1 2 1 2
8 1 4 2 0
8 1 5 0 1
8 2 0 2 2
8 2 1 0 3
8 2 2 3 0
8 2 3 1 1
8 2 6 0 0
8 3 0 4 0
8 3 1 2 1
8 3 2 0 2
8 3 4 1 0
8 4 0 1 2
8 4 2 2 0
8 4 3 0 1
8 5 0 3 0
8 5 1 1 1
8 5 4 0 0
8 6 0 0 2
8 6 2 1 0
8 7 0 2 0
8 7 1 0 1
8 8 2 0 0
8 9 0 1 0
8 11 0 0 0
9 0 0 4 1
9 0 1 2 2
9 0 2 0 3
9 0 3 3 0
9 0 4 1 1
9 0 7 0 0
9 1 0 1 3
9 1 1 4 0
9 1 2 2 1
9 1 3 0 2
9 1 5 1 0
9 2 0 3 1
9 2 1 1 2
9 2 3 2 0
9 2 4 0 1
9 3 0 0 3
9 3 1 3 0
9 3 2 1 1
9 3 5 0 0
9 4 0 2 1
9 4 1 0 2
9 4 3 1 0
9 5 1 2 0
9 5 2 0 1
9 6 0 1 1
9 6 3 0 0
9 7 1 1 0
9 8 0 0 1
9 9 1 0 0
10 0 0 0 4
10 0 0 5 0
10 0 1 3 1
10 0 2 1 2
10 0 4 2 0
10 0 5 0 1
10 1 0 2 2
10 1 1 0 3
10 1 2 3 0
10 1 3 1 1
10 1 6 0 0
10 2 0 4 0
10 2 1 2 1
10 2 2 0 2
10 2 4 1 0
10 3 0 1 2
10 3 2 2 0
10 3 3 0 1
10 4 0 3 0
10 4 1 1 1
10 4 4 0 0
10 5 0 0 2
10 5 2 1 0
10 6 0 2 0
10 6 1 0 1
10 7 2 0 0
10 8 0 1 0
10 10 0 0 0
11 0 0 1 3
11 0 1 4 0
11 0 2 2 1
11 0 3 0 2
11 0 5 1 0
11 1 0 3 1
11 1 1 1 2
11 1 3 2 0
11 1 4 0 1
11 2 0 0 3
11 2 1 3 0
11 2 2 1 1
11 2 5 0 0
11 3 0 2 1
11 3 1 0 2
11 3 3 1 0
11 4 1 2 0
11 4 2 0 1
11 5 0 1 1
11 5 3 0 0
11 6 1 1 0
11 7 0 0 1
11 8 1 0 0
12 0 0 2 2
12 0 1 0 3
12 0 2 3 0
12 0 3 1 1
12 0 6 0 0
12 1 0 4 0
12 1 1 2 1
12 1 2 0 2
12 1 4 1 0
12 2 0 1 2
12 2 2 2 0
12 2 3 0 1
12 3 0 3 0
12 3 1 1 1
12 3 4 0 0
12 4 0 0 2
12 4 2 1 0
12 5 0 2 0
12 5 1 0 1
12 6 2 0 0
12 7 0 1 0
12 9 0 0 0
13 0 0 3 1
13 0 1 1 2
13 0 3 2 0
13 0 4 0 1
13 1 0 0 3
13 1 1 3 0
13 1 2 1 1
13 1 5 0 0
13 2 0 2 1
13 2 1 0 2
13 2 3 1 0
13 3 1 2 0
13 3 2 0 1
13 4 0 1 1
13 4 3 0 0
13 5 1 1 0
13 6 0 0 1
13 7 1 0 0
14 0 0 4 0
14 0 1 2 1
14 0 2 0 2
14 0 4 1 0
14 1 0 1 2
14 1 2 2 0
14 1 3 0 1
14 2 0 3 0
14 2 1 1 1
14 2 4 0 0
14 3 0 0 2
14 3 2 1 0
14 4 0 2 0
14 4 1 0 1
14 5 2 0 0
14 6 0 1 0
14 8 0 0 0
15 0 0 0 3
15 0 1 3 0
15 0 2 1 1
15 0 5 0 0
15 1 0 2 1
15 1 1 0 2
15 1 3 1 0
15 2 1 2 0
15 2 2 0 1
15 3 0 1 1
15 3 3 0 0
15 4 1 1 0
15 5 0 0 1
15 6 1 0 0
16 0 0 1 2
16 0 2 2 0
16 0 3 0 1
16 1 0 3 0
16 1 1 1 1
16 1 4 0 0
16 2 0 0 2
16 2 2 1 0
16 3 0 2 0
16 3 1 0 1
16 4 2 0 0
16 5 0 1 0
16 7 0 0 0
17 0 0 2 1
17 0 1 0 2
17 0 3 1 0
17 1 1 2 0
17 1 2 0 1
17 2 0 1 1
17 2 3 0 0
17 3 1 1 0
17 4 0 0 1
17 5 1 0 0
18 0 0 3 0
18 0 1 1 1
18 0 4 0 0
18 1 0 0 2
18 1 2 1 0
18 2 0 2 0
18 2 1 0 1
18 3 2 0 0
18 4 0 1 0
18 6 0 0 0
19 0 1 2 0
19 0 2 0 1
19 1 0 1 1
19 1 3 0 0
19 2 1 1 0
19 3 0 0 1
19 4 1 0 0
20 0 0 0 2
20 0 2 1 0
20 1 0 2 0
20 1 1 0 1
20 2 2 0 0
20 3 0 1 0
20 5 0 0 0
21 0 0 1 1
21 0 3 0 0
21 1 1 1 0
21 2 0 0 1
21 3 1 0 0
22 0 0 2 0
22 0 1 0 1
22 1 2 0 0
22 2 0 1 0
22 4 0 0 0
23 0 1 1 0
23 1 0 0 1
23 2 1 0 0
24 0 2 0 0
24 1 0 1 0
24 3 0 0 0
25 0 0 0 1
25 1 1 0 0
26 0 0 1 0
26 2 0 0 0
27 0 1 0 0
28 1 0 0 0
30 0 0 0 0
Edwin
