Acme fastener company makes 6 different types of bolts, and the types are each denoted with a letter from the set {A, B, C, D, E, F). Acme prepares bags of "assorted bolts" by putting 12 randomly chosen bolts into each bag. (BoP 3.8, 3.9) (a) How many different combinations of bolts are possible for each bag? (b) When one particular bag is prepared, the factory has only 2 type F bolts left, but an unlimited supply of the others. How many different combinations of bolts are possible for this bag?

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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Can you help me with (b) please? Thanks.

Acme fastener company makes 6 different types of bolts, and the types are each denoted with a letter
from the set {A, B, C, D, E, F). Acme prepares bags of "assorted bolts" by putting 12 randomly chosen
bolts into each bag. (BoP 3.8, 3.9)
(a) How many different combinations of bolts are possible for each bag?
(b) When one particular bag is prepared, the factory has only 2 type F bolts left, but an unlimited
supply of the others. How many different combinations of bolts are possible for this bag?
Transcribed Image Text:Acme fastener company makes 6 different types of bolts, and the types are each denoted with a letter from the set {A, B, C, D, E, F). Acme prepares bags of "assorted bolts" by putting 12 randomly chosen bolts into each bag. (BoP 3.8, 3.9) (a) How many different combinations of bolts are possible for each bag? (b) When one particular bag is prepared, the factory has only 2 type F bolts left, but an unlimited supply of the others. How many different combinations of bolts are possible for this bag?
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How come the answer is actually 6188 combinations for (a) and 4186 combinations for (b)?

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