Respuesta :
Possibilities for one tumbler is 6. So, the number of different possibilities for 4 tumblers is 6⁴ or 1296.
Permutation:
Important information:
- A certain lock has four tumblers
- Each tumbler can assume six positions.
We can use permutation to find the number of possibilities for 1 tumble.
[tex]^6P_1=\dfrac{6!}{(6-1)!}[/tex]
[tex]^6P_1=\dfrac{6!}{5!}[/tex]
[tex]^6P_1=6[/tex]
The number of different possibilities for 4 tumblers is:
6 × 6 × 6 × 6= 1296
Therefore, the number of different possibilities for 4 tumblers is 1296.
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