2. In how many ways can the 5 Barangay Captains and 6 City Mayors be arranged in a row so that all six city mayors are all together? a. 314,400 b. 518,400 с. 630,000 d. 720,000 _3. How many different permutations can be made from the word "PANDEMYA"? а. 20,160 b. 40,320 c. 60,000 d. 80,640 _4. In how many ways can 7 people be seated at a round table? a. 100 b. 120 с. 720 d. 1200 5. Find the number of ways in which 6 boys, Toni, Chris, Billy, Gil, Nadz and Tabby can be seated at a round table such that Gil and Nadz always sit together. а. 24 b. 48 c. 120 d. 240
2. In how many ways can the 5 Barangay Captains and 6 City Mayors be arranged in a row so that all six city mayors are all together? a. 314,400 b. 518,400 с. 630,000 d. 720,000 _3. How many different permutations can be made from the word "PANDEMYA"? а. 20,160 b. 40,320 c. 60,000 d. 80,640 _4. In how many ways can 7 people be seated at a round table? a. 100 b. 120 с. 720 d. 1200 5. Find the number of ways in which 6 boys, Toni, Chris, Billy, Gil, Nadz and Tabby can be seated at a round table such that Gil and Nadz always sit together. а. 24 b. 48 c. 120 d. 240
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Transcribed Image Text:2. In how many ways can the 5 Barangay Captains and 6 City Mayors be arranged in
a row so that all six city mayors are all together?
a. 314,400
b. 518,400
c. 630,000
d. 720,000
_3. How many different permutations can be made from the word "PANDEMYA"?
а. 20,160
ь. 40,320
с. 60,000
d. 80,640
_4. In how many ways can 7 people be seated at a round table?
a. 100
b. 120
c. 720
d. 1200
5. Find the number of ways in which 6 boys, Toni, Chris, Billy, Gil, Nadz and Tabby
can be seated at a round table such that Gil and Nadz always sit together.
a. 24
b. 48
с. 120
d. 240
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