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2009 Zhejiang Senior High School Mathematics Competition
C

Special topic: calculation problems.

Analysis: according to the meaning of the question, it is divided into two steps. Firstly, the quota of 10 is divided into four groups: 1-2-3-4, because the quota of 10 is exactly the same, that is, only 1 is used to group situations, and then all four schools are arranged to correspond to the four groups, and the number of situations can be obtained from the arrangement, and then statistics can be made according to the steps.

According to the meaning of the question, there are two steps. Firstly, the quota of 10 is divided into four groups: 1, 2, 3 and 4.

Because 10 is exactly the same, it is divided into four groups: 1-2-3-4, and only 1 exists.

Then all four schools are arranged, corresponding to four groups, and the corresponding methods =24.

Then the number of allocation schemes is1× 24 = 24;

So choose C.

Comments: This question examines the simple application of permutation and combination. Note that the 10 bits of this problem are exactly the same, and there are only 1 cases regardless of grouping.