Find the number of combinations.
9 objects taken 5 at a time
Answer
Final Answer: The number of combinations of 9 objects taken 5 at a time is \(\boxed{126}\)
Step 1 ：The problem is asking for the number of combinations of 9 objects taken 5 at a time. This is a combinatorics problem and can be solved using the combination formula which is nCr = n! / [(n-r)! * r!], where n is the total number of objects and r is the number of objects to choose at a time. In this case, n=9 and r=5.
Step 2 ：Substitute n=9 and r=5 into the combination formula: \(C(9,5) = \frac{9!}{(9-5)! * 5!}\)
Step 3 ：Simplify the expression to find the number of combinations: \(C(9,5) = 126\)
Step 4 ：Final Answer: The number of combinations of 9 objects taken 5 at a time is \(\boxed{126}\)
