The phrases (little, next, but) to no + noun are used to express a very small or insignificant amount of something.
The phrase “little to no” can be used to express that there is very little or no amount of something. For example, “There was little to no evidence to support the claim.” The phrase “next to no” can be used to express that there is almost no amount of something. For example, “There was next to no chance of survival.” The phrase “but to no avail” can be used to express that something was unsuccessful. For example, “But to no avail did they try to save him.”
We profile this prepositional construction at B1 because ‘no‘ can be used to pre-modify nouns at A2. However, it is usually found with extremely advanced phrases related to negative statements.
A search in iWeb corpus for:
to_II no _NN
1 TO NO AVAIL 26494 C2 unlisted in the EVP
They tried to bring a case against her but to no avail.
2 TO NO END 4985 C2 unlisted in the EVP
It unsettled my father to no end,
and he was not a man of many fears.
3 TO NO EFFECT 1688 C1
She moved where she was building
in the classroom to no effect.
4 TO NO TIME 1481 C2 UNLISTED
She‘ll be back to calling you an a#@%^&e
5 TO NO PURPOSE 1157
Why?
It will provoke French anger and Scottish …
6 TO NO EXPERIENCE 1147
7 TO NO SURPRISE 1138
8 TO NO EFFORT 840
9 TO NO CHANCE 762
10 TO NO COST 754
11 TO NO IMPACT 713
12 TO NO FAULT 547
13 TO NO MONEY 496
14 TO NO MAINTENANCE 486
15 TO NO MAN 457
16 TO NO KNOWLEDGE 415
17 TO NO SUCCESS 414
18 TO NO ONES 408
19 TO NO INTEREST 401
20 TO NO VALUE 394
21 TO NO RISK 390
22 TO NO DIFFERENCE 390
23 TO NO CHANGE 387
24 TO NO INFORMATION 334
25 TO NO DAMAGE 306
26 TO NO EVIDENCE 302
27 TO NO SUPPORT 299
28 TO NO WORK 298
29 TO NO PAIN 291
30 TO NO SIDE 291
31 TO NO BENEFIT 289
32 TO NO TRAINING 277
33 TO NO CONTROL 277
34 TO NO HELP 277
35 TO NO HARM 269
36 TO NO SENSE 267
37 TO NO ROOM 262
38 TO NO USE 258
39 TO NO IDEA 225
40 TO NO RESULTS 223
41 TO NO ACCESS 221
42 TO NO ATTENTION 207
43 TO NO WATER 194
44 TO NO REASON 190
45 TO NO UNDERSTANDING 182
46 TO NO HEAT 179
47 TO NO WARNING 175
48 TO NO CONTACT 174
49 TO NO SLEEP 174
50 TO NO PROBLEMS 167
51 TO NO DOWNTIME 167
52 TO NO IMPROVEMENT 164
53 TO NO PROTECTION 162
54 TO NO POWER 156
55 TO NO LUCK 154
56 TO NO MOVEMENT 154
57 TO NO SYMPTOMS 151
58 TO NO TREATMENT 147
59 TO NO REST 146
60 TO NO TRAFFIC 145
61 TO NO RESPONSE 145
62 TO NO RESISTANCE 145
63 TO NO LAG 143
64 TO NO INCOME 142
65 TO NO COMPETITION 134
66 TO NO PROBLEM 134
67 TO NO PRESSURE 132
68 TO NO PROGRESS 130
69 TO NO HAIR 130
70 TO NO HOPE 127
A search for:
* to no_A
1 LITTLE TO NO 45631
The American Embassy offered little to no help
in dealing with the Ministry of Customs.
2 BUT TO NO 8943
3 NEXT TO NO 5371
4 ,TO NO 4551
5 UP TO NO 3197
6 DUE TO NO 2689
7 ME TO NO 2207
8 ALL TO NO 1708
9 LIMITED TO NO 1359
10 MINIMAL TO NO 1100