Answer:
There are 6 combinations.
Step-by-step explanation:
Given : Eudoras grandfather has decided to move to a desert island. In his new place he will only have room for 2 of his 4 favorite jazz records.
The 4 records are by Ben Webster , Miles Davis , Cannonball Adderley , and Lester young.
To find : How many combinations of 2 records , in any order , can he make?
Solution :
Let, Ben Webster be B
Miles Davis be M
Cannonball Adderley be C
Lester young be L
He will only have room for 2 of his 4 favorite jazz records.
The combinations were arranged in [tex]^4C_2[/tex]
[tex]^4C_2=\frac{4!}{2!(4-2)!}\\^4C_2=\frac{4\times 3\times 2\times 1}{2\times 1\times 2\times 1}=6[/tex]
Now, the arrangement will be (without repeating):
B,M
B,C
B,L
M,C
M,L
C,L
Therefore, There are 6 combinations.
