Question

Asked Jan 14, 2020

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How do you know when to use ^{n}P_{r} and when to use ^{nC}_{r} in Permutations and Combinations problems? Please show some examples to make this point clear.

Step 1

Generally, Permutation used when we have to arrange the objects and Combination is used when we have to select the from the objects.

Step 2

Consider the example, Sachin, Nitin and Amit are three friends and can sit on three benches.

Because, here we have to find out the arrangement. So, we use the Permutation for this problem.

The possible arrangement could be –

Step 3

The same problem could be...

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