2. In how many ways can 6 students be seated in d row of 6 seats if 2 of the students insist on sitting beside each other?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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2. In how many ways can 6 students be seated in d row of 6 seats if
2 of the students insist on sitting beside each other?
3. In a gathering, the host makes sure that each guest shakes hands
with everyone else. If there are 25 guests, how many handshakes
will be done?
4. Suppose you are the owner of a sari-sari store dnd you want to
put 12 pieces of canned goods in a row on the shelf. If there are 3
identical cans of meat loaf, 4 identical cans of tomato sauce, 2
identical cans of sardines, and 3 identical cans of corned beef, in
how many different ways can you display these goods?
5. A soloist is auditioning for a musical play. If she is required to sing
any three of the 7 prepared songs, in how many ways can she
make her choice?
Shot on Y11
Vivo Al camera
2021.04.1O 08:06
Transcribed Image Text:2. In how many ways can 6 students be seated in d row of 6 seats if 2 of the students insist on sitting beside each other? 3. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are 25 guests, how many handshakes will be done? 4. Suppose you are the owner of a sari-sari store dnd you want to put 12 pieces of canned goods in a row on the shelf. If there are 3 identical cans of meat loaf, 4 identical cans of tomato sauce, 2 identical cans of sardines, and 3 identical cans of corned beef, in how many different ways can you display these goods? 5. A soloist is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice? Shot on Y11 Vivo Al camera 2021.04.1O 08:06
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