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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you help me with (b) please? Thanks.
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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