These Ten-Year-Series (TYS) worked solutions with video explanations for 2004 A Level H2 Mathematics Paper 2 Question 4 are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2004 A Level H2 Math Paper 2 Question 4
A rectangular shed, with a door at each end, contains ten fixed concret bases marked $A$, $B$, $C$, … $J$. Five on each side (see diagram). Ten canisters, each containing a different chemical, are placed with one canister on each base. In how many different ways can the canisters be placed on the bases?
[1]
Find the number of ways in which the canisters can be placed
(i)
if 2 particular canisters must not be placed on any of the 4 bases $A$, $E$, $F$ and $J$ next to a door,
[3]
(i) if 2 particular canisters must not be placed on any of the 4 bases $A$, $E$, $F$ and $J$ next to a door,
[3]
(ii)
if 2 particular canisters must not be placed next to each other on the same side of the shed.
[3]
(ii) if 2 particular canisters must not be placed next to each other on the same side of the shed.
[3]
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