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  • If the digits 1, 2, 3, and 4 are arranged to form a four-digit number, how many different numbers can be created?  Opti

If the digits 1, 2, 3, and 4 are arranged to form a four-digit number, how many different numbers can be created?

 

Option: 1

25


Option: 2

32


Option: 3

24


Option: 4

40


Answers (1)

best_answer

The number of different numbers that can be created by arranging the digits 1,2,3, and 4 to form a four-digit number can be calculated using the concept of permutations.

Since repetition is not allowed, we can use the formula for permutations of distinct objects. In this case, we have 4 distinct digits to arrange in a four-digit number.

The number of permutations of 4 distinct objects taken 4 at a time is given by \mathrm{{ }^4 P_4}, which is calculated as:

\mathrm{ { }^4 P_4=4 ! /(4-4) !=4 ! / 0 !=4 !=4 \times 3 \times 2 \times 1=24 \text {. } }

Therefore, there are 24 different numbers that can be created by arranging the digits 1,2,3, and 4 to form a four-digit number

Posted by

Divya Prakash Singh

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