Question

In: Statistics and Probability

decide whether each object is a permutation or a combination 27 , an automobile license plate...

decide whether each object is a permutation or a combination 27 , an automobile license plate number . 28 , an internet password

Solutions

Expert Solution

The main difference between permutation and combination is that :

In permutation the order matters, for example phone numbers: 123456 and 236541 though have the same digits are different phone numbers and thus phone no. is a permutation.

In combination the order doesn't matter. For example suppose we have 6 people numbered from 1 to 6 out of which we have to select 2 people to form a committee. Then 34 and 43 represent the same committee as the ordering doesn't matter.

27.

An automobile license plate number is a permutation. [ANSWER]

The reason for this is that on automobile numbers the order matters. For example: DL2364 and LD3264 represent two different automobile numbers.

28.

An internet password is a permutation. [ANSWER]

The reason for this is that in internet passwords the order matters. For example: "abcd" and "dbac" represent two different passwords.

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