What is the main difference between a situation in which the use of the permutat

Question

What is the main difference between a situation in which the use of the permutations rule is appropriate and one in which the use of the combinations rule is appropriate?

Combinations count the number of different arrangements of r out of n items, while permutations count the number of groups of r out of n items.

Both permutations and combinations count the number of groups of r out of n items.

Permutations count the number of different arrangements of r out of n items, while combinations count the number of groups of r out of n items.

Both permutations and combinations count the number of different arrangements of r out of n items.

Explanation / Answer

In Permutation, Each of the different arrangement which can be made by taking some or all of the given things or objects at a time is called a permutation. The symbol nPr denotes the no. of permutation of n different things taken r at a time.

In Combination, Each of the different selections or groups which can be made by taking some or all of a no.of given things or objects at a time is called a combination. The symbol nCr denotes the no. of combination of n different things taken r at a time.

ANSWER:

C. Permutations count the number of different arrangements of r out of n items, while combinations count the number of groups of r out of n items.

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