+0  
 
+1
752
2
avatar+586 

How many of the 343 smallest positive integers written in base 7 use 4 or 5 (or both) as a digit?

 Jul 21, 2019
 #1
avatar+796 
+4

click here for a similar question

 Jul 21, 2019
 #2
avatar
+1

Just count them!

 

(1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26, 30, 31, 32, 33, 34, 35, 36, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 60, 61, 62, 63, 64, 65, 66, 100, 101, 102, 103, 104, 105, 106, 110, 111, 112, 113, 114, 115, 116, 120, 121, 122, 123, 124, 125, 126, 130, 131, 132, 133, 134, 135, 136, 140, 141, 142, 143, 144, 145, 146, 150, 151, 152, 153, 154, 155, 156, 160, 161, 162, 163, 164, 165, 166, 200, 201, 202, 203, 204, 205, 206, 210, 211, 212, 213, 214, 215, 216, 220, 221, 222, 223, 224, 225, 226, 230, 231, 232, 233, 234, 235, 236, 240, 241, 242, 243, 244, 245, 246, 250, 251, 252, 253, 254, 255, 256, 260, 261, 262, 263, 264, 265, 266, 300, 301, 302, 303, 304, 305, 306, 310, 311, 312, 313, 314, 315, 316, 320, 321, 322, 323, 324, 325, 326, 330, 331, 332, 333, 334, 335, 336, 340, 341, 342, 343)

 Jul 21, 2019

4 Online Users