An MLB team has 40 players, 25 of which are position players (only play a fielding position, and not pitcher) and 15 pitc (who do not field). In how many ways can the manager create a nine person batting lineup so that the pitcher bats last? 3. (a) (h)

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Chapter1: Combinatorial Analysis
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3 A and B
U! 12!
An MLB team has 40 players, 25 of which are position players (only play a fielding position, and not pitcher) and 15 pitchers
(who do not field).
In how many ways can the manager create a nine person batting lineup so that the pitcher bats last?
3.
(a)
The team is in a slump, and wants to make discussion groups to talk about their feelings. In how many ways can the
manager create groups of sizes 15, 10, 7, 5, and 3 to talk things out?
(b)
P(6,4)
4.
Compute
3!
Transcribed Image Text:U! 12! An MLB team has 40 players, 25 of which are position players (only play a fielding position, and not pitcher) and 15 pitchers (who do not field). In how many ways can the manager create a nine person batting lineup so that the pitcher bats last? 3. (a) The team is in a slump, and wants to make discussion groups to talk about their feelings. In how many ways can the manager create groups of sizes 15, 10, 7, 5, and 3 to talk things out? (b) P(6,4) 4. Compute 3!
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