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  • In how many ways can the digits 1, 2, 3, and 4 be arranged to form a four-digit number if the digits at the units and hundred places are swapped?  <div

In how many ways can the digits 1, 2, 3, and 4 be arranged to form a four-digit number if the digits at the units and hundred places are swapped?

 

Option: 1

8


Option: 2

6


Option: 3

5


Option: 4

2


Answers (1)

best_answer

To find the number of ways the digits 1,2,3, and 4 can be arranged to form a four-digit number if the digits at the units and hundreds places are swapped, we need to consider the possible arrangements.

The digit at the units place can be any of the four digits (1,2,3, or 4), while the digit at the hundreds place can also be any of the four digits. However, since the units and hundreds places are swapped, we need to consider the unique arrangements.

There are four possible digits for the units place and four possible digits for the hundreds place, resulting in a total of 4 \times 4=16 possible arrangements. However, half of these arrangements will be duplicates since swapping the units and hundreds places results in the same number.

Therefore, the number of unique ways to arrange the digits 1,2,3, and 4 to form a four-digit number when the units and hundreds places are swapped is 16 / 2=8.

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shivangi.shekhar

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