Julia has four different flags that she wants to hangs on the wall of her room. How many different ways can the flags be arranged in a row?
a 1
b 10
c 16
d 24
24
The number of different ways the flags can be arranged in a row can be calculated using the concept of permutations.
Since Julia has four different flags, the number of ways they can be arranged in a row is given by the formula:
n! (n factorial)
where n is the number of flags.
In this case, n = 4, so we can calculate the number of arrangements as follows:
4! = 4 × 3 × 2 × 1 = 24
Therefore, the correct option is d) 24.
To find the number of different ways the flags can be arranged in a row, we need to use the concept of permutations.
In this case, since Julia has four different flags, we have four options for the first position, three options for the second position (as one flag has already been placed in the first position), two options for the third position (as two flags have already been placed in the first and second positions), and one option for the last position (as three flags have already been placed in the first, second, and third positions).
To calculate the total number of arrangements, we multiply the number of options for each position:
4 options for the first position * 3 options for the second position * 2 options for the third position * 1 option for the last position = 4 * 3 * 2 * 1 = 24
Therefore, there are 24 different ways the flags can be arranged in a row.
The correct answer is d) 24.