Activity 3: Find Me! To further strengthen the foundations in solving permutations, you may search for the derivation of the different permutation formulas previously discussed. 1. The covered walk of a school is to be lined with flags. How many different arrangements are there of the 10 flags if 5 are blue, 3 are red, and 2 are white? 2. Miguel has 7 mathematics books and 4 science books. The shelf has space for only 6 books. If the first four positions are to be occupied by mathematics books and the last two by science books, in how many ways can this be done?
Activity 3: Find Me! To further strengthen the foundations in solving permutations, you may search for the derivation of the different permutation formulas previously discussed. 1. The covered walk of a school is to be lined with flags. How many different arrangements are there of the 10 flags if 5 are blue, 3 are red, and 2 are white? 2. Miguel has 7 mathematics books and 4 science books. The shelf has space for only 6 books. If the first four positions are to be occupied by mathematics books and the last two by science books, in how many ways can this be done?
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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Transcribed Image Text:Activity 3: Find Me!
To further strengthen the foundations in solving permutations, you may search for the
derivation of the different permutation formulas previously discussed.
1. The covered walk of a school is to be lined with flags. How many different arrangements
are there of the 10 flags if 5 are blue, 3 are red, and 2 are white?
2. Miguel has 7 mathematics books and 4 science books. The shelf has space for only 6
books. If the first four positions are to be occupied by mathematics books and the last two by
science books, in how many ways can this be done?
3. There are 6 people who will sit in a row, but out of them Ronnie will always be left
of Annie and Sanjay will always be right of Annie. How many row arrangements are possible?
4. There are 12 people in a dinner gathering. In how many ways can the host (one of the 12)
arrange his guests around a dining table if:
a. 3 people insist on sitting beside each other?
b. 2 people refuse to sit beside each other?
5. If there are 4 suman, 2 biko, and 2 puto in a bilao, in how many different orders is it possible
to eat all of these kakanin?
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