Question

you and 3 of your friends go to an amusement park.how many ways can you stand in line to buy tickets for the riders?​

Answer 1

In six ways .

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Answer 2

Answer:

$24$ ways

Tip:

• Fundamental principle of counting states that If an event A can occur in m different ways following which another event  B can occur in n different ways , then total number of occurrence of both the events A and B is m × n.

Step 1 of 2:

Total number of persons $=4$

The first person can stand in line to buy tickets in $4$ ways.

Now, there are $3$ places left and the second person can stand in $4-1=3$ ways.

Similarly , the third one can stand in $3-1=2$ ways.

And the last one can stand in $1$ way.

Step 2 of 2:

So, by Fundamental principle of counting , total number of ways $=4\times 3\times 2 \times1=24$