222, 223, 224, 225, 233, 233, 234, 235, 242 243, 244, 245, 252, 253, 254, 255
322, 323, 324, 325, 332, 333, 334, 335, 342, 343, 344, 345, 352, 353, 354, 355
422, 423, 424, 425, 432, 433, 434, 435, 442, 443, 444, 445, 452, 453, 454, 455
522, 523, 524, 525, 532, 533, 534, 535, 542, 543, 544, 545, 552, 553, 554, 555
So, as you see, here are all the possiblities. The ones in bold are the odd numbers that can be formed without any repeating digits. There are 13 of those, so your answer should be 13.
Hope this helped! Have a great rest of your day! :)