#4. A particular high school has 4 clubs. The chess club with 20 members, the card game club with 15 members, the darts club with 13 members and ping pong club with 17 members. Out of these clubs, a committee of 12 members is to be selected to organize a club recruitment day that is put on by student activites. How many committees are there if a) there are no restrictions; b) there are 3 members from each club on the committee; c) exactly half of the committee must be members from the ping pong club; d) there are 3 members from the dart club and 4 members from the card game club on the committee; e) there are 4 members from the card game club or 3 members from the chess club on the committee; f) at least 10 members of the committee must be members of the chess club;
#4. A particular high school has 4 clubs. The chess club with 20 members, the card game club with 15 members, the darts club with 13 members and ping pong club with 17 members. Out of these clubs, a committee of 12 members is to be selected to organize a club recruitment day that is put on by student activites. How many committees are there if a) there are no restrictions; b) there are 3 members from each club on the committee; c) exactly half of the committee must be members from the ping pong club; d) there are 3 members from the dart club and 4 members from the card game club on the committee; e) there are 4 members from the card game club or 3 members from the chess club on the committee; f) at least 10 members of the committee must be members of the chess club;
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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just need part E and F
i need thiis in words
not handwritten solution or no pic
Transcribed Image Text:#4. A particular high school has 4 clubs. The chess club with 20 members, the card game club
with 15 members, the darts club with 13 members and ping pong club with 17 members.
Out of these clubs, a committee of 12 members is to be selected to organize a club
recruitment day that is put on by student activites. How many committees are there if
a) there are no restrictions;
b) there are 3 members from each club on the committee;
c) exactly half of the committee must be members from the ping pong club;
d) there are 3 members from the dart club and 4 members from the card game club on the
committee;
e) there are 4 members from the card game club or 3 members from the chess club on the
committee;
f) at least 10 members of the committee must be members of the chess club;
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