QUESTION SEVEN A shop has 7 different mountain bicycles, 5 different racing bicycles and 8 different ordinary bicycles on display. A cycling club selects 6 of these 20 bicycles to buy. a. How many different selections can be made if there must be no more than 3 mountain bicycles and no more than 2 of cach of the other types of bicycle? The cycling club buys 3 mountain bieycles, 1 racing bicycle and 2 ordinary bicycles and parks them in a cycle rack, which has a row of 10 empty spaces. b. How many different arrangements are there in the cycle rack if the mountain bicycles are all together with no spaces between them, the ordinary bicycles are both together with no spaces between them and the spaces are all together? c. How many different arrangements are there in the cycle rack if the ordinary bieycles are at cach end of the bicycles and there are no spaces between any of the bicycles? Bob makes on average 5 burgers and hour. He makes burgers across a 2 hour period.

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Chapter1: Combinatorial Analysis
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QUESTION SEVEN
A shop has 7 different mountain bicycles, 5 different racing bicycles and 8 different ordinary
bicycles on display. A cycling club selects 6 of these 20 bicycles to buy.
a. How many different selections can be made if there must be no more than 3 mountain
bicycles and no more than 2 of cach of the other types of bieycle?
The cycling club buys 3 mountain bieycles, 1 racing bicycle and 2 ordinary bicycles and parks
them in a cycle rack, which has a row of 10 empty spaces.
b. How many different arrangements are there in the cycle rack if the mountain bicycles are all
together with no spaces between them, the ordinary bicycles are both together with no spaces
between them and the spaces are all together?
c. How many different arrangements are there in the cycle rack if the ordinary bicycles are at
each end of the bicycles and there are no spaces between any of the bicycles?
Bob makes on average 5 burgers and hour. He makes burgers across a 2 hour period.
Transcribed Image Text:QUESTION SEVEN A shop has 7 different mountain bicycles, 5 different racing bicycles and 8 different ordinary bicycles on display. A cycling club selects 6 of these 20 bicycles to buy. a. How many different selections can be made if there must be no more than 3 mountain bicycles and no more than 2 of cach of the other types of bieycle? The cycling club buys 3 mountain bieycles, 1 racing bicycle and 2 ordinary bicycles and parks them in a cycle rack, which has a row of 10 empty spaces. b. How many different arrangements are there in the cycle rack if the mountain bicycles are all together with no spaces between them, the ordinary bicycles are both together with no spaces between them and the spaces are all together? c. How many different arrangements are there in the cycle rack if the ordinary bicycles are at each end of the bicycles and there are no spaces between any of the bicycles? Bob makes on average 5 burgers and hour. He makes burgers across a 2 hour period.
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