(d) Number of ways to draw exactly 2 kings or jacks = 30,408,224
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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Need help with part d, of the attached picture. Be detailed please
![Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (a) only 2's; (b) only 6's, 7's and 8's; (c) no 6's, 7's and 8's; (d) exactly 2
kings or jacks; (e) 2 spades and 5 hearts?
(a) Number of ways to draw only 2's = 0
%3D
(b) Number of ways to draw only 6's, 7's, and 8's = 792
(c) Number of ways to draw no 6's, 7's, and 8's = 18643560
(d) Number of ways to draw exactly 2 kings or jacks = 30,408,224
(e) Number of ways to draw 2 spades and 5 hearts = 100386
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1843d95-d573-461b-8e0c-1e360d1c394e%2F841233b3-8776-492f-8a87-66b99783bc27%2Fjaolx1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (a) only 2's; (b) only 6's, 7's and 8's; (c) no 6's, 7's and 8's; (d) exactly 2
kings or jacks; (e) 2 spades and 5 hearts?
(a) Number of ways to draw only 2's = 0
%3D
(b) Number of ways to draw only 6's, 7's, and 8's = 792
(c) Number of ways to draw no 6's, 7's, and 8's = 18643560
(d) Number of ways to draw exactly 2 kings or jacks = 30,408,224
(e) Number of ways to draw 2 spades and 5 hearts = 100386
%3D
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