Eight women of eight different heights are to pose for a photo in two rows of four. Each woman in the second row must stand directly behind a shorter woman in the first row. In addition, all of the women in each row must be arranged in order of increasing height from left to right. Assuming that these restrictions are fully adhered to, in how many different ways can the women pose?  Select the correct option
A) 2 B) 14 C) 15 D) 16 E) 18
Shortest (1) and highest (8) women are fixed:   XXX8   1XXX   2 and 7 have two options, so total 4 patterns:   1:   2xx8   1xx7   |2468| |2568|   |1357| |1347|   2.   2x78   1xxx   |2478| |2578| |2678|   |1356| |1346| |1345|   3.   xxx8   12x7   |4568| |3468| |3568|   |1237| |1257| |1247|   4.   xx78   12xx   |3478| |3678| |3578| |5678| |4578| |4678|   |1256| |1245| |1246| |1234| |1236| |1235|   14 options.   Answer: 14.
<result>B</result>
Eight women of eight different heights are to pose for a photo in two rows of four. Each woman in the second row must stand directly behind a shorter woman in the first row. In addition, all of the women in each row must be arranged in order of increasing height from left to right. Assuming that these restrictions are fully adhered to, in how many different ways can the women pose?