#JavaScript (ES6),  92  74 bytes

Takes input as (['gold','silver','bronze'])('rep'). Returns a Boolean value.

b=>r=>[...b.map((n,i)=>n.repeat(+n&&3-i)).join``].sort()+''==[...r].sort()

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#JavaScript (ES6), 74 bytes

Takes input as (gold, silver, bronze, 'rep'). Returns a Boolean value.

(g,s,b,r)=>(F=s=>[...s].sort()+0)(r)==F([g,g,g,s,s,b].filter(x=>x).join``)

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JavaScript (ES6),  92  74 bytes

Takes input as (['gold','silver','bronze'])('rep'). Returns a Boolean value.

b=>r=>[...b.map((n,i)=>n.repeat(+n&&3-i)).join``].sort()+''==[...r].sort()

Try it online!

JavaScript (ES6), 74 bytes

Takes input as (gold, silver, bronze, 'rep'). Returns a Boolean value.

(g,s,b,r)=>(F=s=>[...s].sort()+0)(r)==F([g,g,g,s,s,b].filter(x=>x).join``)

Try it online!

#JavaScript (ES6),  92  74 bytes

Takes input as (['gold','silver','bronze'])('rep'). Returns a Boolean value.

b=>r=>[...b.map((n,i)=>n.repeat(+n&&3-i)).join``].sort()+''==[...r].sort()

Try it online!

#JavaScript (ES6),  92  74 bytes

Takes input as (['gold','silver','bronze'])('rep'). Returns a Boolean value.

b=>r=>[...b.map((n,i)=>n.repeat(+n&&3-i)).join``].sort()+''==[...r].sort()

Try it online!

#JavaScript (ES6), 74 bytes

Takes input as (gold, silver, bronze, 'rep'). Returns a Boolean value.

(g,s,b,r)=>(F=s=>[...s].sort()+0)(r)==F([g,g,g,s,s,b].filter(x=>x).join``)

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#JavaScript (ES6), 92 bytes

Takes input as (['gold','silver','bronze'])('rep'). Returns a Boolean value.

b=>F=([c,...a],x=b.map((n,i)=>n.repeat(+n&&3-i)).join``)=>c?(X=x.replace(c,''))!=x&F(a,X):!x

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#JavaScript (ES6),  92  74 bytes

Takes input as (['gold','silver','bronze'])('rep'). Returns a Boolean value.

b=>r=>[...b.map((n,i)=>n.repeat(+n&&3-i)).join``].sort()+''==[...r].sort()

Try it online!