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the artist r. locklen jones selects 5 paintings from a collection of 7 to display in a row. how many different arrangements of the display are possible?

Sagot :

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

Learn more about the arrangements here:

https://brainly.com/question/28406752

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