Respuesta :

Answer:

24?

Step-by-step explanation:

4 times 6

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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