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)
- 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.
- 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. - So, we need to write 1 in the thousands place.
Therefore, the only number formed is 1000. - 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.
