288
000, 001, 002, 003, 004, 005, 006, 010, 011, 012, 013, 014, 015, 016, 020, 021, 022, 023, 024, 025, 026, 030, 031, 032, 033, 034, 035, 036, 040, 041, 042, 043, 044, 045, 046, 050, 051, 052, 053, 054, 055, 056, 060, 061, 062, 063, 064, 065, 066
x 6
Unless you mean all numbers in the string must be unique, excluding numbers like 000 and 001, then it's
180
or
012, 013, 014, 015, 016, 021, 023, 024, 025, 026, 031, 032, 034, 035, 036, 041, 042, 043, 045, 046, 051, 052, 053, 054, 056, 061, 062, 063, 064, 065
x 6
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10,000
There are 25 such numbers.
To determine the number of numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetitions and less than 500, we first consider the hundreds place. Since the number has to be less than 500, the hundreds place can only be filled with 1, 2, or 3. For the tens and units place, any of the remaining digits can be used. Therefore, there are 3 choices for the hundreds place, 4 choices for the tens place, and 3 choices for the units place, giving a total of 3 x 4 x 3 = 36 numbers that can be formed.
9 odd numbers less than 100 can be formed. They are: 3,5,7,35,37,53,57,73 and 75.
You have seven different digits (symbols) to choose from, so you can form seven different one digit numbers and 7×7=72=49 different two digit numbers.