Maths Olympiad
Exam
Q. Determine how many positive integers less than 400 can be created using only the digits 1,2 or 3 with repetition of digits allowed
Read Solution (Total 4)
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- If zero is not allowed in begining means one digit and two digit numbers are not allowed, then
3*3*3= 27 numbers.
If one digit and 2 digit numbers are allowed , then 3+3*3= 12 more numbers can be formed .
Then total 39 positive integers are possible. - 13 years agoHelpfull: Yes(14) No(0)
- 3*3*3 = 27 three digit numbers are possible.
- 13 years agoHelpfull: Yes(0) No(7)
- in Series of 1 to 100 we have
1 to 10 = 4
11 to 40 = 29
41 to 100 = 19 So total is 52
in Series of 100 to 400 we have
101 to 200 = 100
201 to 300 = 100
301 to 400 = 99
So the total is 52 + 100 + 100 +99 = 351
- 12 years agoHelpfull: Yes(0) No(8)
- THERE ARE FOLLOWING POSITIVE INTEGERS THAT CAN BE CREATED USING 1,2 AND 3 BUT LESS THAN 400 :
111, 222, 333, 123, 321, 112, 113, 221, 223, 331, 332, 211, 311, 211, 322, 133, 233, 132, 213, 312, 121, 131, 212, ,232, 313 AND 323. - 12 years agoHelpfull: Yes(0) No(4)
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