Question

从一副扑克牌（去掉大小王）中任意抽取4张，使得到的数字进行混合运算，是不是都能得到24

把你知道的，可以的，全列出来

Answer 1

当然不是，很多不能，比如4个1
一共20多万种组合，谁能都写出来！

Answer 2

当然不是
比如1122就不行

Answer 3

共有316种答案：

1: 4 + 5 + 7 + 8
2: (4 + 5) + 7 + 8
3: (4 + 5 + 7) + 8
4: ((4 + 5) + 7) + 8
5: (4 + (5 + 7)) + 8
6: 4 + (5 + 7) + 8
7: 4 + (5 + 7 + 8)
8: 4 + ((5 + 7) + 8)
9: 4 + (5 + (7 + 8))
10: 4 + 5 +(7 + 8)
11: (4 + 5) + (7 + 8)
12: 4 × (5 - 7 + 8)
13: 4 × ((5 - 7) + 8)
14: 4 × (5 - (7 - 8))
15: 4 + 5 + 8 + 7
16: (4 + 5) + 8 + 7
17: (4 + 5 + 8) + 7
18: ((4 + 5) + 8) + 7
19: (4 + (5 + 8)) + 7
20: 4 + (5 + 8) + 7
21: 4 + (5 + 8 + 7)
22: 4 + ((5 + 8) + 7)
23: 4 + (5 + (8 + 7))
24: 4 + 5 +(8 + 7)
25: (4 + 5) + (8 + 7)
26: 4 × (5 + 8 - 7)
27: 4 × ((5 + 8) - 7)
28: 4 × (5 + (8 - 7))
29: 4 + 7 + 5 + 8
30: (4 + 7) + 5 + 8
31: (4 + 7 + 5) + 8
32: ((4 + 7) + 5) + 8
33: (4 + (7 + 5)) + 8
34: 4 + (7 + 5) + 8
35: 4 + (7 + 5 + 8)
36: 4 + ((7 + 5) + 8)
37: 4 + (7 + (5 + 8))
38: 4 + 7 +(5 + 8)
39: (4 + 7) + (5 + 8)
40: 4 + 7 + 8 + 5
41: (4 + 7) + 8 + 5
42: (4 + 7 + 8) + 5
43: ((4 + 7) + 8) + 5
44: (4 + (7 + 8)) + 5
45: 4 + (7 + 8) + 5
46: 4 + (7 + 8 + 5)
47: 4 + ((7 + 8) + 5)
48: 4 + (7 + (8 + 5))
49: 4 + 7 +(8 + 5)
50: (4 + 7) + (8 + 5)
51: 4 + 8 + 5 + 7
52: (4 + 8) + 5 + 7
53: (4 + 8 + 5) + 7
54: ((4 + 8) + 5) + 7
55: (4 + (8 + 5)) + 7
56: 4 + (8 + 5) + 7
57: 4 + (8 + 5 + 7)
58: 4 + ((8 + 5) + 7)
59: 4 + (8 + (5 + 7))
60: 4 + 8 +(5 + 7)
61: (4 + 8) + (5 + 7)
62: 4 × (8 + 5 - 7)
63: 4 × ((8 + 5) - 7)
64: 4 × (8 + (5 - 7))
65: 4 + 8 + 7 + 5
66: (4 + 8) + 7 + 5
67: (4 + 8 + 7) + 5
68: ((4 + 8) + 7) + 5
69: (4 + (8 + 7)) + 5
70: 4 + (8 + 7) + 5
71: 4 + (8 + 7 + 5)
72: 4 + ((8 + 7) + 5)
73: 4 + (8 + (7 + 5))
74: 4 + 8 +(7 + 5)
75: (4 + 8) + (7 + 5)
76: (4 + 8) × (7 - 5)
77: 4 × (8 - 7 + 5)
78: 4 × ((8 - 7) + 5)
79: 4 × (8 - (7 - 5))
80: 5 + 4 + 7 + 8
81: (5 + 4) + 7 + 8
82: (5 + 4 + 7) + 8
83: ((5 + 4) + 7) + 8
84: (5 + (4 + 7)) + 8
85: 5 + (4 + 7) + 8
86: 5 + (4 + 7 + 8)
87: 5 + ((4 + 7) + 8)
88: 5 + (4 + (7 + 8))
89: 5 + 4 +(7 + 8)
90: (5 + 4) + (7 + 8)
91: 5 + 4 + 8 + 7
92: (5 + 4) + 8 + 7
93: (5 + 4 + 8) + 7
94: ((5 + 4) + 8) + 7
95: (5 + (4 + 8)) + 7
96: 5 + (4 + 8) + 7
97: 5 + (4 + 8 + 7)
98: 5 + ((4 + 8) + 7)
99: 5 + (4 + (8 + 7))
100: 5 + 4 +(8 + 7)
101: (5 + 4) + (8 + 7)
102: 5 + 7 + 4 + 8
103: (5 + 7) + 4 + 8
104: (5 + 7 + 4) + 8
105: ((5 + 7) + 4) + 8
106: (5 + (7 + 4)) + 8
107: 5 + (7 + 4) + 8
108: 5 + (7 + 4 + 8)
109: 5 + ((7 + 4) + 8)
110: 5 + (7 + (4 + 8))
111: 5 + 7 +(4 + 8)
112: (5 + 7) + (4 + 8)
113: (5 + 7) ÷ 4 × 8
114: ((5 + 7) ÷ 4) × 8
115: (5 + 7) ÷ (4 ÷ 8)
116: 5 + 7 + 8 + 4
117: (5 + 7) + 8 + 4
118: (5 + 7 + 8) + 4
119: ((5 + 7) + 8) + 4
120: (5 + (7 + 8)) + 4
121: 5 + (7 + 8) + 4
122: 5 + (7 + 8 + 4)
123: 5 + ((7 + 8) + 4)
124: 5 + (7 + (8 + 4))
125: 5 + 7 +(8 + 4)
126: (5 + 7) + (8 + 4)
127: (5 + 7) × 8 ÷ 4
128: ((5 + 7) × 8) ÷ 4
129: (5 + 7) × (8 ÷ 4)
130: (5 - 7 + 8) × 4
131: ((5 - 7) + 8) × 4
132: (5 - (7 - 8)) × 4
133: 5 + 8 + 4 + 7
134: (5 + 8) + 4 + 7
135: (5 + 8 + 4) + 7
136: ((5 + 8) + 4) + 7
137: (5 + (8 + 4)) + 7
138: 5 + (8 + 4) + 7
139: 5 + (8 + 4 + 7)
140: 5 + ((8 + 4) + 7)
141: 5 + (8 + (4 + 7))
142: 5 + 8 +(4 + 7)
143: (5 + 8) + (4 + 7)
144: 5 + 8 + 7 + 4
145: (5 + 8) + 7 + 4
146: (5 + 8 + 7) + 4
147: ((5 + 8) + 7) + 4
148: (5 + (8 + 7)) + 4
149: 5 + (8 + 7) + 4
150: 5 + (8 + 7 + 4)
151: 5 + ((8 + 7) + 4)
152: 5 + (8 + (7 + 4))
153: 5 + 8 +(7 + 4)
154: (5 + 8) + (7 + 4)
155: (5 + 8 - 7) × 4
156: ((5 + 8) - 7) × 4
157: (5 + (8 - 7)) × 4
158: 7 + 4 + 5 + 8
159: (7 + 4) + 5 + 8
160: (7 + 4 + 5) + 8
161: ((7 + 4) + 5) + 8
162: (7 + (4 + 5)) + 8
163: 7 + (4 + 5) + 8
164: 7 + (4 + 5 + 8)
165: 7 + ((4 + 5) + 8)
166: 7 + (4 + (5 + 8))
167: 7 + 4 +(5 + 8)
168: (7 + 4) + (5 + 8)
169: 7 + 4 + 8 + 5
170: (7 + 4) + 8 + 5
171: (7 + 4 + 8) + 5
172: ((7 + 4) + 8) + 5
173: (7 + (4 + 8)) + 5
174: 7 + (4 + 8) + 5
175: 7 + (4 + 8 + 5)
176: 7 + ((4 + 8) + 5)
177: 7 + (4 + (8 + 5))
178: 7 + 4 +(8 + 5)
179: (7 + 4) + (8 + 5)
180: 7 + 5 + 4 + 8
181: (7 + 5) + 4 + 8
182: (7 + 5 + 4) + 8
183: ((7 + 5) + 4) + 8
184: (7 + (5 + 4)) + 8
185: 7 + (5 + 4) + 8
186: 7 + (5 + 4 + 8)
187: 7 + ((5 + 4) + 8)
188: 7 + (5 + (4 + 8))
189: 7 + 5 +(4 + 8)
190: (7 + 5) + (4 + 8)
191: (7 + 5) ÷ 4 × 8
192: ((7 + 5) ÷ 4) × 8
193: (7 + 5) ÷ (4 ÷ 8)
194: (7 - 5) × (4 + 8)
195: 7 + 5 + 8 + 4
196: (7 + 5) + 8 + 4
197: (7 + 5 + 8) + 4
198: ((7 + 5) + 8) + 4
199: (7 + (5 + 8)) + 4
200: 7 + (5 + 8) + 4
201: 7 + (5 + 8 + 4)
202: 7 + ((5 + 8) + 4)
203: 7 + (5 + (8 + 4))
204: 7 + 5 +(8 + 4)
205: (7 + 5) + (8 + 4)
206: (7 + 5) × 8 ÷ 4
207: ((7 + 5) × 8) ÷ 4
208: (7 + 5) × (8 ÷ 4)
209: (7 - 5) × (8 + 4)
210: 7 + 8 + 4 + 5
211: (7 + 8) + 4 + 5
212: (7 + 8 + 4) + 5
213: ((7 + 8) + 4) + 5
214: (7 + (8 + 4)) + 5
215: 7 + (8 + 4) + 5
216: 7 + (8 + 4 + 5)
217: 7 + ((8 + 4) + 5)
218: 7 + (8 + (4 + 5))
219: 7 + 8 +(4 + 5)
220: (7 + 8) + (4 + 5)
221: 7 + 8 + 5 + 4
222: (7 + 8) + 5 + 4
223: (7 + 8 + 5) + 4
224: ((7 + 8) + 5) + 4
225: (7 + (8 + 5)) + 4
226: 7 + (8 + 5) + 4
227: 7 + (8 + 5 + 4)
228: 7 + ((8 + 5) + 4)
229: 7 + (8 + (5 + 4))
230: 7 + 8 +(5 + 4)
231: (7 + 8) + (5 + 4)
232: 8 + 4 + 5 + 7
233: (8 + 4) + 5 + 7
234: (8 + 4 + 5) + 7
235: ((8 + 4) + 5) + 7
236: (8 + (4 + 5)) + 7
237: 8 + (4 + 5) + 7
238: 8 + (4 + 5 + 7)
239: 8 + ((4 + 5) + 7)
240: 8 + (4 + (5 + 7))
241: 8 + 4 +(5 + 7)
242: (8 + 4) + (5 + 7)
243: 8 ÷ 4 ×(5 + 7)
244: (8 ÷ 4) × (5 + 7)
245: 8 ÷ (4 ÷ (5 + 7))
246: 8 + 4 + 7 + 5
247: (8 + 4) + 7 + 5
248: (8 + 4 + 7) + 5
249: ((8 + 4) + 7) + 5
250: (8 + (4 + 7)) + 5
251: 8 + (4 + 7) + 5
252: 8 + (4 + 7 + 5)
253: 8 + ((4 + 7) + 5)
254: 8 + (4 + (7 + 5))
255: 8 + 4 +(7 + 5)
256: (8 + 4) + (7 + 5)
257: (8 + 4) × (7 - 5)
258: 8 ÷ 4 ×(7 + 5)
259: (8 ÷ 4) × (7 + 5)
260: 8 ÷ (4 ÷ (7 + 5))
261: 8 + 5 + 4 + 7
262: (8 + 5) + 4 + 7
263: (8 + 5 + 4) + 7
264: ((8 + 5) + 4) + 7
265: (8 + (5 + 4)) + 7
266: 8 + (5 + 4) + 7
267: 8 + (5 + 4 + 7)
268: 8 + ((5 + 4) + 7)
269: 8 + (5 + (4 + 7))
270: 8 + 5 +(4 + 7)
271: (8 + 5) + (4 + 7)
272: 8 + 5 + 7 + 4
273: (8 + 5) + 7 + 4
274: (8 + 5 + 7) + 4
275: ((8 + 5) + 7) + 4
276: (8 + (5 + 7)) + 4
277: 8 + (5 + 7) + 4
278: 8 + (5 + 7 + 4)
279: 8 + ((5 + 7) + 4)
280: 8 + (5 + (7 + 4))
281: 8 + 5 +(7 + 4)
282: (8 + 5) + (7 + 4)
283: (8 + 5 - 7) × 4
284: ((8 + 5) - 7) × 4
285: (8 + (5 - 7)) × 4
286: (8 × (5 + 7)) ÷ 4
287: 8 × (5 + 7) ÷ 4
288: 8 × ((5 + 7) ÷ 4)
289: 8 + 7 + 4 + 5
290: (8 + 7) + 4 + 5
291: (8 + 7 + 4) + 5
292: ((8 + 7) + 4) + 5
293: (8 + (7 + 4)) + 5
294: 8 + (7 + 4) + 5
295: 8 + (7 + 4 + 5)
296: 8 + ((7 + 4) + 5)
297: 8 + (7 + (4 + 5))
298: 8 + 7 +(4 + 5)
299: (8 + 7) + (4 + 5)
300: 8 + 7 + 5 + 4
301: (8 + 7) + 5 + 4
302: (8 + 7 + 5) + 4
303: ((8 + 7) + 5) + 4
304: (8 + (7 + 5)) + 4
305: 8 + (7 + 5) + 4
306: 8 + (7 + 5 + 4)
307: 8 + ((7 + 5) + 4)
308: 8 + (7 + (5 + 4))
309: 8 + 7 +(5 + 4)
310: (8 + 7) + (5 + 4)
311: (8 - 7 + 5) × 4
312: ((8 - 7) + 5) × 4
313: (8 - (7 - 5)) × 4
314: (8 × (7 + 5)) ÷ 4
315: 8 × (7 + 5) ÷ 4
316: 8 × ((7 + 5) ÷ 4)