The number of natural numbers less than 500 in which no two digits are repeated is

Step-by-step solution

Number of 3 digit natural number less than 500 in which no two digits are repeated =4 9 8=288 4 ways =4 number (1,2,3,4) Now number of 2 digit natural numbers less than 500 in which no. of two digits are repeated =9 9=81 Now number of 1 digit natural number less than 500=9 Therefore required number of digits =288+81+9=378