If the digit 0 is to be repeated 3 times, then how many 4-digit numbers can be formed by using the digits 1 and 0?


Answer:

One (1000)

Step by Step Explanation:
  1. According to the question, we have to form 4-digit numbers by using the digits, 1 and 0, where 0 must be repeated 3 times.
  2. Now, we will place the digits under the 4 place values, i.e., Th H T O .
    We know that we cannot write 0 in the highest place value as the new number, thus formed, will actually be a 3-digit number.
  3. So, we need to write 1 in the thousands place.
    Therefore, the only number formed is 1000.
  4. Hence, we can say that only one 4-digit number can be formed by using the digits, 1 and 0, where zero is repeated 4 times.

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