The 48 clubs from Sky Bet League One and Two enter the competition and will join the 32 winners from the fourth qualifying round.
National League South side Bath City are the only other team affiliated with Somerset County FA to join the Glovers in the hat.
The draw will take place on Monday night at 7pm, live on BT Sport 3 and BBC 2.
BALL NUMBERS IN FULL
1 Accrington Stanley
2 AFC Wimbledon
3 Barnet
4 Blackburn Rovers
5 Blackpool
6 Bradford City
7 Bristol Rovers
8 Bury
9 Cambridge United
10 Carlisle United
11 Charlton Athletic
12 Cheltenham Town
13 Chesterfield
14 Colchester United
15 Coventry City
16 Crawley Town
17 Crewe Alexandra
18 Doncaster Rovers
19 Exeter City
20 Fleetwood Town
21 Forest Green Rovers
22 Gillingham
23 Grimsby Town
24 Lincoln City
25 Luton Town
26 Mansfield
27 MK Dons
28 Morecambe
29 Newport County
30 Northampton Town
31 Notts County
32 Oldham Athletic
33 Oxford United
34 Peterborough United
35 Plymouth Argyle
36 Port Vale
37 Portsmouth
38 Rochdale
39 Rotherham United
40 Scunthorpe United
41 Shrewsbury Town
42 Southend United
43 Stevenage
44 Swindon Town
45 Walsall
46 Wigan Athletic
47 Wycombe Wanderers
48 Yeovil Town
49 Tranmere Rovers
50 Solihull Moors or Ossett Town
51 Hartlepool United
52 Shaw Lane Association
53 Chorley or Boston Untied
54 AFC Telford United
55 Gainsborough Trinity
56 Nantwich Town or Kettering Town
57 Gateshead
58 Guiseley
59 AFC Fylde
60 Kidderminster Harriers
61 Hyde United
62 Macclesfield Town
63 Brackley Town or Billericay Town
64 Dagenham & Redbridge or Leyton Orient
65 Hereford FC
66 Aldershot Town
67 Bath City or Chelmsford
68 Oxford City
69 Maidenhead United
70 Heybridge Swifts
71 Woking or Concord Rangers
72 Truro City
73 Dover Athletic or Bromley
74 Slough Town
75 Dartford
76 Boreham Wood
77 Maidstone United or Enfield Town
78 Leatherhead
79 Sutton United
80 East Thurrock United or Ebbsfleet United