Problem

For a fishing trip, Ali is going to choose lures to put in his tackle box. He has 5 lures that are crankbaits and 7 that are spinnerbaits. In how many ways can he choose 6 lures if 4 or more must be spinnerbaits?

Solution

Step 1 :This is a combinatorics problem. We need to find the number of ways to choose 6 lures from a total of 12 lures, with the condition that at least 4 of them must be spinnerbaits.

Step 2 :We can solve this problem by considering the different cases separately: choosing 4, 5, or 6 spinnerbaits.

Step 3 :For each case, we calculate the number of ways to choose the remaining lures from the crankbaits.

Step 4 :We then sum up the results of all cases to get the final answer.

Step 5 :Final Answer: The number of ways Ali can choose 6 lures if 4 or more must be spinnerbaits is \(\boxed{462}\).

From Solvely APP
Source: https://solvelyapp.com/problems/msHFGzTDXD/

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