1. a high school is planning to put on the musical west side story. there are 20 singers auditioning for the musical. the director is looking for two singers who could sing a good duet.
in how many ways can the director choose two singers from the 20 singers?
indicate if this question involves a permutation or a combination. give a reason for your answer.

The director can choose two singers from the 20 singers in 190 different ways.

Step-by-step explanation:

Given : The total number pf singers auditioning for the musical= 20

The number of singers looking director for = 2

We use combinations here because order of selecting singers does not matter.

(If order matters then we use permutations.)

The number of combinations of to select r things of n things =

So the number of ways can the director choose two singers from the 20 singers=

Therefore , the director can choose two singers from the 20 singers in 190 different ways.

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