Question# 1:
A RANDOM DRAW GUESS NUMBERS game where each drawcontains five panels and a key number area. A draw consists of two fields. Field 1 must have 5 numbers from 1 to 69 and Field 2 must have 1 number from 1 to 26.
A. How many combinations can be made for field 1 alone?
B. How many combinations can be made for fields 1 & 2 together?
Note: Show total count of combinations and list all of them for both A & Bseparately.There should not be a repetition of thesamenumber within field 1 in each row. It should be in ascending order.
Examples:
|
Field 1 (5 Panels)
|
|
Field 2 (key number area)
|
|
01 02 43 58 60
|
07
|
|
12 35 44 47 65
|
|
01
|
|
08 11 32 58 59
|
|
09
|
|
05 10 31 44 53
|
|
15
|
|
16 33 51 54 67
|
|
26
|
|
05091321 24
|
|
14
|
|
Field 1
|
|
Field 2
|
|
Panel 1
|
Panel 2
|
Panel 3
|
Panel 4
|
Panel 5
|
|
|
|
1
|
2
|
3
|
4
|
5
|
|
1
|
|
2
|
3
|
4
|
5
|
6
|
|
2
|
|
3
|
4
|
5
|
6
|
7
|
|
3
|
|
4
|
5
|
6
|
7
|
8
|
|
4
|
|
5
|
6
|
7
|
8
|
9
|
|
5
|
|
6
|
7
|
8
|
9
|
10
|
|
6
|
|
7
|
8
|
9
|
10
|
11
|
|
7
|
|
8
|
9
|
10
|
11
|
12
|
|
8
|
|
9
|
10
|
11
|
12
|
13
|
|
9
|
|
10
|
11
|
12
|
13
|
14
|
|
10
|
|
11
|
12
|
13
|
14
|
15
|
|
11
|
|
12
|
13
|
14
|
15
|
16
|
|
12
|
|
13
|
14
|
15
|
16
|
17
|
|
13
|
|
14
|
15
|
16
|
17
|
18
|
|
14
|
|
15
|
16
|
17
|
18
|
19
|
|
15
|
|
16
|
17
|
18
|
19
|
20
|
|
16
|
|
17
|
18
|
19
|
20
|
21
|
|
17
|
|
18
|
19
|
20
|
21
|
22
|
|
18
|
|
19
|
20
|
21
|
22
|
23
|
|
19
|
|
20
|
21
|
22
|
23
|
24
|
|
20
|
|
21
|
22
|
23
|
24
|
25
|
|
21
|
|
22
|
23
|
24
|
25
|
26
|
|
22
|
|
23
|
24
|
25
|
26
|
27
|
|
23
|
|
24
|
25
|
26
|
27
|
28
|
|
24
|
|
25
|
26
|
27
|
28
|
29
|
|
25
|
|
26
|
27
|
28
|
29
|
30
|
|
26
|
|
27
|
28
|
29
|
30
|
31
|
|
|
|
28
|
29
|
30
|
31
|
32
|
|
|
|
29
|
30
|
31
|
32
|
33
|
|
|
|
30
|
31
|
32
|
33
|
34
|
|
|
|
31
|
32
|
33
|
34
|
35
|
|
|
|
32
|
33
|
34
|
35
|
36
|
|
|
|
33
|
34
|
35
|
36
|
37
|
|
|
|
34
|
35
|
36
|
37
|
38
|
|
|
|
35
|
36
|
37
|
38
|
39
|
|
|
|
36
|
37
|
38
|
39
|
40
|
|
|
|
37
|
38
|
39
|
40
|
41
|
|
|
|
38
|
39
|
40
|
41
|
42
|
|
|
|
39
|
40
|
41
|
42
|
43
|
|
|
|
40
|
41
|
42
|
43
|
44
|
|
|
|
41
|
42
|
43
|
44
|
45
|
|
|
|
42
|
43
|
44
|
45
|
46
|
|
|
|
43
|
44
|
45
|
46
|
47
|
|
|
|
44
|
45
|
46
|
47
|
48
|
|
|
|
45
|
46
|
47
|
48
|
49
|
|
|
|
46
|
47
|
48
|
49
|
50
|
|
|
|
47
|
48
|
49
|
50
|
51
|
|
|
|
48
|
49
|
50
|
51
|
52
|
|
|
|
49
|
50
|
51
|
52
|
53
|
|
|
|
50
|
51
|
52
|
53
|
54
|
|
|
|
51
|
52
|
53
|
54
|
55
|
|
|
|
52
|
53
|
54
|
55
|
56
|
|
|
|
53
|
54
|
55
|
56
|
57
|
|
|
|
54
|
55
|
56
|
57
|
58
|
|
|
|
55
|
56
|
57
|
58
|
59
|
|
|
|
56
|
57
|
58
|
59
|
60
|
|
|
|
57
|
58
|
59
|
60
|
61
|
|
|
|
58
|
59
|
60
|
61
|
62
|
|
|
|
59
|
60
|
61
|
62
|
63
|
|
|
|
60
|
61
|
62
|
63
|
64
|
|
|
|
61
|
62
|
63
|
64
|
65
|
|
|
|
62
|
63
|
64
|
65
|
66
|
|
|
|
63
|
64
|
65
|
66
|
67
|
|
|
|
64
|
65
|
66
|
67
|
68
|
|
|
|
65
|
66
|
67
|
68
|
69
|
|
|
|
66
|
67
|
68
|
69
|
|
|
|
|
67
|
68
|
69
|
|
|
|
|
|
68
|
69
|
|
|
|
|
|
|
69
|
|
|
|
|
|
|
Question# 2:
A RANDOM DRAW GUESS NUMBERS game where each drawcontains five panels and a key number area.A draw consists of two fields. Field 1 must have 5 numbers from 1 to 70 and Field 2 must have 1 number from 1 to 25.
A. How many combinations can be made for field 1 alone?
B. How many combinations can be made for fields 1 & 2 together?
Note: Show total count of combinations and list all of them for both A & B separately. There should not be a repetition of the same number within field 1 in each row. It should be in ascending order.
Examples:
|
Field 1 (5 Panels)
|
|
Field 2
(key number area)
|
|
01 02 43 58 60
|
07
|
|
12 35 44 47 65
|
|
01
|
|
08 11 32 58 59
|
|
09
|
|
05 10 31 44 53
|
|
15
|
|
16 33 51 54 67
|
|
26
|
|
05091321 24
|
|
14
|
Examples:
|
Field 1
|
|
Field 2
|
|
01 02 03 04 05
|
07
|
|
12 35 44 47 65
|
|
01
|
|
08 11 32 42 59
|
|
09
|
|
05 10 31 43 53
|
|
15
|
|
16 33 51 54 67
|
|
26
|
|
22 29 49 61 68
|
|
14
|
|
Field 1
|
|
Field 2
|
|
01 02 03 04 05
|
[1]
|
|
Field 1
|
|
Field 2
|
|
Panel 1
|
Panel 2
|
Panel 3
|
Panel 4
|
Panel 5
|
|
|
|
1
|
2
|
3
|
4
|
5
|
|
1
|
|
2
|
3
|
4
|
5
|
6
|
|
2
|
|
3
|
4
|
5
|
6
|
7
|
|
3
|
|
4
|
5
|
6
|
7
|
8
|
|
4
|
|
5
|
6
|
7
|
8
|
9
|
|
5
|
|
6
|
7
|
8
|
9
|
10
|
|
6
|
|
7
|
8
|
9
|
10
|
11
|
|
7
|
|
8
|
9
|
10
|
11
|
12
|
|
8
|
|
9
|
10
|
11
|
12
|
13
|
|
9
|
|
10
|
11
|
12
|
13
|
14
|
|
10
|
|
11
|
12
|
13
|
14
|
15
|
|
11
|
|
12
|
13
|
14
|
15
|
16
|
|
12
|
|
13
|
14
|
15
|
16
|
17
|
|
13
|
|
14
|
15
|
16
|
17
|
18
|
|
14
|
|
15
|
16
|
17
|
18
|
19
|
|
15
|
|
16
|
17
|
18
|
19
|
20
|
|
16
|
|
17
|
18
|
19
|
20
|
21
|
|
17
|
|
18
|
19
|
20
|
21
|
22
|
|
18
|
|
19
|
20
|
21
|
22
|
23
|
|
19
|
|
20
|
21
|
22
|
23
|
24
|
|
20
|
|
21
|
22
|
23
|
24
|
25
|
|
21
|
|
22
|
23
|
24
|
25
|
26
|
|
22
|
|
23
|
24
|
25
|
26
|
27
|
|
23
|
|
24
|
25
|
26
|
27
|
28
|
|
24
|
|
25
|
26
|
27
|
28
|
29
|
|
25
|
|
26
|
27
|
28
|
29
|
30
|
|
|
|
27
|
28
|
29
|
30
|
31
|
|
|
|
28
|
29
|
30
|
31
|
32
|
|
|
|
29
|
30
|
31
|
32
|
33
|
|
|
|
30
|
31
|
32
|
33
|
34
|
|
|
|
31
|
32
|
33
|
34
|
35
|
|
|
|
32
|
33
|
34
|
35
|
36
|
|
|
|
33
|
34
|
35
|
36
|
37
|
|
|
|
34
|
35
|
36
|
37
|
38
|
|
|
|
35
|
36
|
37
|
38
|
39
|
|
|
|
36
|
37
|
38
|
39
|
40
|
|
|
|
37
|
38
|
39
|
40
|
41
|
|
|
|
38
|
39
|
40
|
41
|
42
|
|
|
|
39
|
40
|
41
|
42
|
43
|
|
|
|
40
|
41
|
42
|
43
|
44
|
|
|
|
41
|
42
|
43
|
44
|
45
|
|
|
|
42
|
43
|
44
|
45
|
46
|
|
|
|
43
|
44
|
45
|
46
|
47
|
|
|
|
44
|
45
|
46
|
47
|
48
|
|
|
|
45
|
46
|
47
|
48
|
49
|
|
|
|
46
|
47
|
48
|
49
|
50
|
|
|
|
47
|
48
|
49
|
50
|
51
|
|
|
|
48
|
49
|
50
|
51
|
52
|
|
|
|
49
|
50
|
51
|
52
|
53
|
|
|
|
50
|
51
|
52
|
53
|
54
|
|
|
|
51
|
52
|
53
|
54
|
55
|
|
|
|
52
|
53
|
54
|
55
|
56
|
|
|
|
53
|
54
|
55
|
56
|
57
|
|
|
|
54
|
55
|
56
|
57
|
58
|
|
|
|
55
|
56
|
57
|
58
|
59
|
|
|
|
56
|
57
|
58
|
59
|
60
|
|
|
|
57
|
58
|
59
|
60
|
61
|
|
|
|
58
|
59
|
60
|
61
|
62
|
|
|
|
59
|
60
|
61
|
62
|
63
|
|
|
|
60
|
61
|
62
|
63
|
64
|
|
|
|
61
|
62
|
63
|
64
|
65
|
|
|
|
62
|
63
|
64
|
65
|
66
|
|
|
|
63
|
64
|
65
|
66
|
67
|
|
|
|
64
|
65
|
66
|
67
|
68
|
|
|
|
65
|
66
|
67
|
68
|
69
|
|
|
|
66
|
67
|
68
|
69
|
70
|
|
|
|
67
|
68
|
69
|
70
|
|
|
|
|
68
|
69
|
70
|
|
|
|
|
|
69
|
70
|
|
|
|
|
|
|
70
|
|
|
|
|
|
|