Example: What is the number of ways to order the 26 letters of the alphabet so that no two of the vowels a,e,i,o, and u occur consecutively?(元音字母 中任意两个都不得相继出现) .8 Solution: The first task is to decide how to order the consonants among themselves. 21 4 Our second task is put the vowels in these places. 令p(22,5)=22/17! o By the multiplication principle, the numble of with no two vowels consecutive is 21 x22 /17/et ordered arrangements of the letters of the alphabe❖ Example:What is the number of ways to order the 26 letters of the alphabet so that no two of the vowels a,e,i,o,and u occur consecutively?(元音字母 中任意两个都不得相继出现) ❖ Solution:The first task is to decide how to order the consonants among themselves. ❖ 21! ❖ Our second task is put the vowels in these places. ❖ p(22,5)=22!/17! ❖ By the multiplication principle, the numble of ordered arrangements of the letters of the alphabet with no two vowels consecutive is 21!22!/17!