Suppose that 9 female and 4 male applicants have been successfully screened for 6 positions. In how many ways can the following compositions be selected? (A) 3 females and 3 males (B) 5 females and 1 male (C) 6 females (D) 6 people regardless of sex (E) At least 5 females (A) There is/are 84 way(s) to select 3 females and 4 way(s) to select 3 males. (Type whole numbers.) There is/are 336 way(s) to select 3 females and 3 males (Type a whole number.) (B) There is/are 504way(s) to select 5 females and 1 male. (Type a whole number.) (C) There is/are 84 way(s) to select 6 females. (Type a whole number.) (D) There is/are 1716 way(s) to select 6 people regardless of sex. (Type a whole number.) (E) There is/are way(s) to select at least 5 females for 6 positions. (Type a whole number.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 1E: The Fundamental Counting Principle says that if one event can occur in m ways and a second event can...
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Suppose that 9 female and 4 male applicants have been successfully screened for 6 positions. In how many ways can the following compositions be selected?
(A) 3 females and 3 males
(B) 5 females and 1 male
(C) 6 females
(D) 6 people regardless of sex
(E) At least 5 females
(A) There is/are 84 way(s) to select 3 females and 4 way(s) to select 3 males.
(Type whole numbers.)
There is/are 336 way(s) to select 3 females and 3 males
(Type a whole number.)
(B) There is/are 504way(s) to select 5 females and 1 male.
(Type a whole number.)
(C) There is/are 84 way(s) to select 6 females.
(Type a whole number.)
(D) There is/are 1716 way(s) to select 6 people regardless of sex.
(Type a whole number.)
(E) There is/are
way(s) to select at least 5 females for 6 positions.
(Type a whole number.)
Transcribed Image Text:Suppose that 9 female and 4 male applicants have been successfully screened for 6 positions. In how many ways can the following compositions be selected? (A) 3 females and 3 males (B) 5 females and 1 male (C) 6 females (D) 6 people regardless of sex (E) At least 5 females (A) There is/are 84 way(s) to select 3 females and 4 way(s) to select 3 males. (Type whole numbers.) There is/are 336 way(s) to select 3 females and 3 males (Type a whole number.) (B) There is/are 504way(s) to select 5 females and 1 male. (Type a whole number.) (C) There is/are 84 way(s) to select 6 females. (Type a whole number.) (D) There is/are 1716 way(s) to select 6 people regardless of sex. (Type a whole number.) (E) There is/are way(s) to select at least 5 females for 6 positions. (Type a whole number.)
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