A high school a cappella club has 10 members. Four members will be chosen to sing in a quartet for the spring concert. Assuming that the quartet is chosen randomly by drawing names out of a hat, what is the probability that the four members chosen are Alice, Bob, Cathy, and Dave? A 1/5040

B 2/5

C 1/10000

D 1/210

1/5040

Step-by-step explanation:

The probability of choosing Alice as the first member is 1/10.

The probability of choosing Bob as the second member is 1/9 because one member was already chosen.

The probability of choosing Cathy as the third member is 1/8 because two members were already chosen.

The probability of choosing Dave as the fourth member is 1/7 because three members were already chosen.

Now, we multiply these fractions to get the final answer (the chance of them being the four members):

(1/10) x (1/9) x (1/8) x (1/7) = 1/5040

Hope this helps!