3. (Do not evaluate your answers in this question.) A Mon-Fri class timetable schedules one-hour timeslots be- tween 9AM to 5PM: a total of 40 possible timeslots, as shown in the table. We select 4 timeslots at random, and ignore the order in which they are selected. (a) How many different selections are possible? (b) How many of the possible selections contain at least one afternoon slot? Explain your reasoning. (c) How many of the selections include exactly two slots on one day, and two slots on another (different) day. 9AM 10AM 11AM 12noon 1PM 2PM 3PM 4PM MON TUE WED THU FRI

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. (Do not evaluate your answers in this question.) A Mon-Fri class timetable schedules one-hour timeslots be-
tween 9AM to 5PM: a total of 40 possible timeslots, as shown in the table.
We select 4 timeslots at random, and ignore the order in which they are
selected.
(a) How many different selections are possible?
(b) How many of the possible selections contain at least one afternoon
slot? Explain your reasoning.
(c) How many of the selections include exactly two slots on one day,
and two slots on another (different) day.
9AM
10AM
11AM
12noon
1PM
2PM
3PM
4PM
MON
TUE
WED
론
Transcribed Image Text:3. (Do not evaluate your answers in this question.) A Mon-Fri class timetable schedules one-hour timeslots be- tween 9AM to 5PM: a total of 40 possible timeslots, as shown in the table. We select 4 timeslots at random, and ignore the order in which they are selected. (a) How many different selections are possible? (b) How many of the possible selections contain at least one afternoon slot? Explain your reasoning. (c) How many of the selections include exactly two slots on one day, and two slots on another (different) day. 9AM 10AM 11AM 12noon 1PM 2PM 3PM 4PM MON TUE WED 론
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