Question

Permutation Rule 1
The number of permutations of n distinct objects taken all at once is denoted by nPn and is defined as nPn=n!.

In how many ways can seven students be arranged in a line?
Solution:

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Answer 1

Answer:

Proved.

Consider the provided information.

We need to explain why  for all positive integers n.

The permutation formula is:

Now substitute r=n in above formula as we want the value of

The value of 0! is 1.

Therefore,

Hence, proved.

Step-by-step explanation:

Hope this helps:)  ジョセフ

Answer 2

Answer:

A true statement would be "A permutation is an ordered arrangement of objects."

The number of different ordered arrangements of n distinct objects is n!

When you divide the number of permutations of 11 objects taken 3 at a time by 3!, you will get the number of combinations of 11 objects taken 3 at a time.