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Jim wants to hang 4 pictures in a row on his wall. If he has 6 pictures to choose from , how many different arrangements are possible?

2 Answers

7 votes

Answer:

Explanation:

24

User Ariefbayu
by
8.2k points
4 votes

Answer:

180 possible arrangements

Explanation:

To find the number of different arrangements possible when Jim hangs 4 pictures in a row from a set of 6 pictures, we can use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of items in the set (in this case, 6), and r is the number of items being chosen (in this case, 4).

Substituting the values, we get:

6P4 = 6! / (6 - 4)!

= 6! / 2!

= (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)

= 360 / 2

= 180

Therefore, there are 180 different arrangements possible when Jim hangs 4 pictures in a row from a set of 6 pictures.

User Fsarter
by
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