permutation
TRANSCRIPT
![Page 1: Permutation](https://reader036.vdocument.in/reader036/viewer/2022073118/55a98c801a28ab13048b46b7/html5/thumbnails/1.jpg)
![Page 2: Permutation](https://reader036.vdocument.in/reader036/viewer/2022073118/55a98c801a28ab13048b46b7/html5/thumbnails/2.jpg)
REFERS TO A SET OF OBJECTS ARRANGED IN A DEFINITE ORDER.
![Page 3: Permutation](https://reader036.vdocument.in/reader036/viewer/2022073118/55a98c801a28ab13048b46b7/html5/thumbnails/3.jpg)
Example: In how many ways can three books statistics, algebra and biology be arranged on a shelf?solution:P=n!P=3! = 6ways(3 x 2=6)
Note: you may use also your scientific calculator by entering the number and press the sign !
![Page 4: Permutation](https://reader036.vdocument.in/reader036/viewer/2022073118/55a98c801a28ab13048b46b7/html5/thumbnails/4.jpg)
Example: How many 5 letter words can be formed from the word FORMALITY?
Solution: = 9! (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2=362,880)(9-5)! (4 x 3 x 2 =24)
= 15, 120 words
![Page 5: Permutation](https://reader036.vdocument.in/reader036/viewer/2022073118/55a98c801a28ab13048b46b7/html5/thumbnails/5.jpg)
Example: How many ways can 4 red flags, 3 blue flags and 2 white flags be arranged on a line?
Solution:P= 9! = 362880
4! 3! 2! (24)(6)(2)P= 1260 ways
![Page 6: Permutation](https://reader036.vdocument.in/reader036/viewer/2022073118/55a98c801a28ab13048b46b7/html5/thumbnails/6.jpg)
Example: In how many ways can 8 guests be seated in a round table with 8 chairs?
Solution: P= (8-1)!= 7! = 5, 040 ways