How many ways can 5 bikes fit in a 7 place bike rack?

To determine how many ways 5 bikes can fit in a 7-place bike rack, we can use the concept of combinations followed by permutations. First, we choose 5 places from the 7 available, which can be done in ( \binom{7}{5} = 21 ) ways. Then, the 5 bikes can be arranged in those 5 selected places in ( 5! = 120 ) different ways. Thus, the total number of ways to fit the bikes is ( 21 \times 120 = 2520 ).