Many different groups apply to march in the annual GLBTGQ, etc. parade. In how many different orders can the groups

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Source: Princeton Review

Many different groups apply to march in the annual GLBTGQ, etc. parade. In how many different orders can the groups march, out of the groups chosen to participate in this year’s parade?

1 If the number of groups that will be chosen to march is half of the groups that apply to march, 252 different groups of groups could be chosen to march

2) If all the groups that applied to march were chosen to march, the groups could march in 3,628,800 orders

The OA is A