Question

State the number of co sets of $\mathit{k}$in${\mathit{A}}_{\mathbf{4}}$ . Don't list them.

Short answer

The number of co-sets of $k$in$A_4$ is 3.

Step-by-step solution

Determine co-sets of k 

Here,$k$ has 4 elements and$A_4$ has 12 elements.

Result

By Lagrange’s theorem, the co-sets are,

$k=\frac{12}{4}=3$in $A_4$.

Thus, there are 3 co-sets.