How many positive integers less than 4300 of digits 0-4.
a.560 b)565 c)575 d)625?
Answers
Answer:
574
Step-by-step explanation:
How many positive integers less than 4300 of digits 0-4.
a.560 b)565 c)575 d)625?
1 digit number = 4 ( 1 to 4)
2 Digit number = 4 * 5 = 20 ( 1st digit can be 1 to 4 & 2nd digit can be 0 to 4)
3 digit number = 4 * 5 * 5 = 100 ( 1st digit can be 1 to 4 & 2nd & 3rd digit digit can be 0 to 4)
4 digit number till 3999
4 digit number = 3 * 5 * 5 * 5 = 375 ( 1st digit can be 1 to 3 & 2nd , 3rd & 4th digit digit can be 0 to 4)
4 digit number ≥ 4000 & ≤ 4300
= 1 * 3 * 5 * 5 = 75 (1st digit 4 , 2nd digit 0 , 1 & 2 & 3rd & 4th digit digit can be 0 to 4)
Total numbers = 4 + 20 + 100 + 375 + 75 = 574
if Question is how many positive integers not more than 4300 of digits 0, 1, 2, 3, 4 then 4300 will also be included
then 574 + 1 = 575