distinct objects

objects taken

$$n\Pr=\frac{n!}{\left(n-r\right)!}$$

$$n\Pr=\frac{\left(n-r\right)!}{n!}$$

$$n\Pr=\frac{n!}{\left(n-r\right)!r!}$$

$$n\Pr=\frac{\left(n-r\right)!r!}{n!}$$

$$nCr=\frac{n!}{\left(n-r\right)!}$$

$$nCr=\frac{\left(n-r\right)!}{n!}$$

$$nCr=\frac{n!}{\left(n-r\right)!r!}$$

$$nCr=\frac{\left(n-r\right)!r!}{n!}$$

$$\frac{n!}{r_1!\cdot r_2!\cdot...r_k!}$$

$$\frac{r_1!\cdot r_2!\cdot...r_k!}{n!}$$

$$\frac{n}{r_1!\cdot r_2!\cdot...r_k!}$$

$$\frac{n!}{r_1\cdot r_2\cdot...r_k}$$

$$\left(n-1\right)!$$

$$n!$$

$$\left(n-1\right)!$$

$$n!$$

P(A and B)=P(A)*P(B)

P(A and B)=P(A)*P(A|B)

P(A and B)=P(A)*P(B)

P(A and B)=P(A)*P(A|B)

$$P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)$$

$$P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)$$

$$P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\cap B\right)$$

$$P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)-P\left(A\cup B\right)$$

$$P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)$$

$$P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)$$

$$P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\cap B\right)$$

$$P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)-P\left(A\cup B\right)$$

Mutually Exclusive Events

Non-Mutually Exclusive Events

Combinations

Permutations

Mutually Exclusive Events

Non-Mutually Exclusive Events

Combinations

Permutations

$$P\left(A^c\right)=1-P\left(A\right)$$

$$P\left(A^c\right)=P\left(A\right)-1$$

And

Or

And

Or