Answer :
Different arrangements of the display are possible is 2520.
Given:
the artist r. locklen jones selects 5 paintings from a collection of 7 to display in a row.
Permutation :
A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.
= [tex]7_P_5[/tex]
we know that,
[tex]n_P_r[/tex] = n! / ( n - r ) !
[tex]7_P_5[/tex] = 7! / ( 7 - 5 ) !
= 7! / ( 2 ) !
= 7! / 2!
= 7 * 6 * 5 * 4 * 3 * 2! / 2!
= 42 * 20 * 3
= 840 * 3
= 2520
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