Determine the number of permutations (arrangements) possible of 10 things taken 2 at a time.
The answer is
Final Answer: The number of permutations possible of 10 things taken 2 at a time is \(\boxed{90}\).
Step 1 :The problem is asking to find the number of permutations possible of 10 things taken 2 at a time.
Step 2 :The formula for permutations of n things taken r at a time is given by: \(P(n, r) = \frac{n!}{(n-r)!}\), where n! denotes the factorial of n.
Step 3 :Substitute n = 10 and r = 2 into the formula: \(P(10, 2) = \frac{10!}{(10-2)!}\).
Step 4 :Calculate the factorial of 10 and 8: \(10! = 3628800\) and \(8! = 40320\).
Step 5 :Substitute these values into the formula: \(P(10, 2) = \frac{3628800}{40320} = 90\).
Step 6 :Final Answer: The number of permutations possible of 10 things taken 2 at a time is \(\boxed{90}\).