Evaluate the expression.
\[
{ }_{6} \mathrm{P}_{5}
\]
The solution is

Answer

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Answer

The number of ways to arrange 5 items out of 6 is \(\boxed{720}\)

Steps

Step 1 ：The given expression is a permutation, which is a way of arranging items where the order is important. In this case, we are asked to find the number of ways to arrange 5 items out of 6.

Step 2 ：The formula for permutations is: \(_{n}P_{r} = \frac{n!}{(n-r)!}\) where n is the total number of items, r is the number of items to choose, and ! denotes factorial, which is the product of all positive integers up to that number.

Step 3 ：In this case, n = 6 and r = 5. So we need to calculate: \(_{6}P_{5} = \frac{6!}{(6-5)!}\)

Step 4 ：The number of ways to arrange 5 items out of 6 is \(\boxed{720}\)

Evaluate the expression.\[{ }_{6} \mathrm{P}_{5}\]The solution is

Answer

Popular Problems

Evaluate the expression.
\[
{ }_{6} \mathrm{P}_{5}
\]
The solution is