The total number of persons standing in the line waiting for ordering pizza are 5.
Explanation:
There are 5 people in total so the first place can be occupied by any of the 5 persons.
Secondly the second place in the line can be occupied by any of the 4 persons left.
Then the third place will be occupied by any remaining 3 persons as the front two places are already occupied.
Similarly the fourth place will be taken by any of the remaining two people. And lastly the last place will b filled by the last remaining person.
So the total number of ways will be 5*4*3*2*1 = 120 ways that is given in the question.
Answer:
The number of ways are 16! or 20,922,789,888,000.
Step-by-step explanation:
Consider the provided information.
We need to determine the number of different ways 16 numbered pool balls be placed in a line on the pool table.
For the first place we have 16 balls.
For the second place we have 15 balls left.
Similarly for the third place we have 14 balls as two balls are already arranged and so on.
Or we can say that this is the permutation of 16 things taking 16 at a time.
Thus the number of ways are:
or

Hence, the number of ways are 16! or 20,922,789,888,000.
6x^2 + 4(x^2 - 1) =
6x^2 + 4x^2 - 4 =
10x^2 - 4 <===