Question

In how many ways can 3 singers be selected from 5 who came to an audition?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The number of ways 3 singers can be selected from 5 who came to an audition can be calculated using the combination formula:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of singers and r is the number of singers to be selected.

In this case, n = 5 and r = 3. Plugging these values into the formula:

C(5, 3) = 5! / (3! * (5-3)!)
= 5! / (3! * 2!)
= (5 x 4 x 3 x 2 x 1) / ((3 x 2 x 1) x (2 x 1))
= 120 / (6 x 2)
= 120 / 12
= 10

Therefore, there are 10 ways in which 3 singers can be selected from the 5 who came to the audition.