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24. The arrangement  has the property that the numbers increase as one goes down or to the right.

(a) How many other arrangements are there of the numbers 1, 2, ..., 8 in 2 rows and 4 columns with this property?

(b) How many arrangements are there of the numbers 1, 2, ..., 14 in 2 rows and 7 columns with this property?

(c) How many arrangements are there of the numbers 1, 2, ..., 12 in 3 rows and 4 colunms with this property?
 
 

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Tuesday, May 12, 1998