s4w2 FC combinations and permutations

Last updated 3 months ago
4 questions
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 is a permutation or a combination.

1

The director is also interested in the number of ways to choose a lead singer and a backup singer. In how many ways can the director choose a lead singer and the a backup singer? Indicate if this is a permutation or a combination.

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. What is the probability that Alicia and Juan are the two singers who are selected by the director?

1

The director is also interested in the number of ways to choose a lead singer and a backup singer. What is the probability that Alicia is selected the lead singer and Juan is selected the backup singer?