Make the smallest four digit number by using any one digit twice by 0,4,9
(a) 0049
(b) 4009
(c) 0449
(d) 4049
Answers
9Answer:
b is corret answer
Step-by-step explanation:
when thier say that in question :
greatest twicfe o,4,9 .greastest no is
9999 ok
know in this questions thier told that smallest twice is o,4,9. we remember thier told smallest .
that mean smallest number 1000
Given:
Three digits 0, 4, and 9.
To Find:
The least possible 4 digit number by using the three digits such that repetition of one of the digits is allowed.
Solution:
1. The given three digits are 0, 4, and 9.
2. The four-digit numbers that can be formed by allowing any one of the digits to repeat is,
=> Case 1: ( Let the digit 0 be repeated twice )
=> The possible 4 digit numbers are 4009, 4090, 4900, 9400, 9040, 9004.
=> Case 2: ( Let the digit 4 be repeated twice )
=> The possible 4 digit numbers are 4409, 4490, 4940, 4904, 4049, 4094, 9044, 9404, 9440
=> Case 3 : ( Let the digit 9 be repeated twice )
=> The possible 4 digit numbers are 4099, 4909, 4990, 9904, 9940, 9094, 9049, 9490, 9409.
3. The total possible numbers are 4009, 4090, 4900, 9400, 9040, 9004, 4099, 4909, 4990, 9904, 9940, 9094, 9049, 9490, 9409, 409, 4490, 4940, 4904, 4049, 4094, 9044, 9404, 9440.
=> The smallest number from the above set of numbers is 4009.
Therefore, the smallest number possible after forming a four-digit number is 4009. Option B is the correct answer.