Solve P=4!/2!/frac{6!{2!*2!}}

$$P = \frac { \frac { 4 ! } { 2 ! } } { \frac { 6 ! } { 2 ! \times 2 ! } }$$

Solve for P

$$P=\frac{1}{15}\approx 0.066666667$$

Steps for Solving Linear Equation

Multiply 2! and 2! to get \left(2!\right)^{2}.

$$P=\frac{\frac{4!}{2!}}{\frac{6!}{\left(2!\right)^{2}}}$$

Divide \frac{4!}{2!} by \frac{6!}{\left(2!\right)^{2}} by multiplying \frac{4!}{2!} by the reciprocal of \frac{6!}{\left(2!\right)^{2}}.

$$P=\frac{4!\times \left(2!\right)^{2}}{2!\times 6!}$$

Cancel out 2! in both numerator and denominator.

$$P=\frac{2!\times 4!}{6!}$$

The factorial of 2 is 2.

$$P=\frac{2\times 4!}{6!}$$

The factorial of 4 is 24.

$$P=\frac{2\times 24}{6!}$$

Multiply 2 and 24 to get 48.

$$P=\frac{48}{6!}$$

The factorial of 6 is 720.

$$P=\frac{48}{720}$$

Reduce the fraction \frac{48}{720} to lowest terms by extracting and canceling out 48.

$$P=\frac{1}{15}$$

Assign P

$$P≔\frac{1}{15}$$