Question

(A) How many ways can a 4-person subcommittee be selected from a committee of 6 people? (B) How many ways can a president, vice-president, secretary, and treasurer be chosen from a committee of 6 people? (A) The number of ways to select a 4-person subcommittee is ?. (B) The number of ways to choose a president, vice-president, secretary, and treasurer is ?.

          (A) How many ways can a 4-person subcommittee be selected from a committee of 6 people?
(B) How many ways can a president, vice-president, secretary, and treasurer be chosen from a committee of 6 people?
(A) The number of ways to select a 4-person subcommittee is ?.
(B) The number of ways to choose a president, vice-president, secretary, and treasurer is ?.

(A) How many ways can a 4-person subcommittee be selected from a committee of 6 people?
(B) How many ways can a president, vice-president, secretary, and treasurer be chosen from a committee of 6 people?
(A) The number of ways to select a 4-person subcommittee is ?.
(B) The number of ways to choose a president, vice-president, secretary, and treasurer is ?.

Added by Corey S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

06/14/2022

Step 1

This is a combination problem because the order in which we select the people does not matter. We use the combination formula nCr = n! / [(n-r)!r!], where n is the total number of items, r is the number of items to choose, and ! denotes factorial. Plugging in our Show more…

Show all steps

Thanks for your feedback!

(A) How many ways can a 4-person subcommittee be selected from a committee of 6 people? (B) How many ways can a president, vice-president, secretary, and treasurer be chosen from a committee of 6 people? (A) The number of ways to select a 4-person subcommittee is . (B) The number of ways to choose a president, vice-president, secretary, and treasurer is .