I own earrings, necklaces, rings, bracelets, and anklets however my jewelry box only has three different compartments in it. How many different ways can I organize my jewelry (hint: I care about the order)

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I own earrings, necklaces, rings, bracelets, and anklets however my jewelry box only has three different compartments in it. How many different ways can I organize my jewelry (hint: I care about the order)

Expert Solution
Step 1

Here we have earrings, necklaces, rings, bracelets, and anklet

Hence, Total number of jewellery (n) = 5

 

Since we have only three different compartments( i.e. r= 3)in jewellery box so here we will use the concept of arrangement

So, here we will the concept of permutations

Permutation =  nPr = n!/(n-r)!

Where,

n = the total number of elements in a set

r = the number of selected elements arranged in a specific order

 

 

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