Solve the following counting and probability problem. How many permutations of the letters in word ACCOMMODATIONAL have consonants in the first two positions and vowels in the last two positions?

topic: counting  How many strings of five capital letters are there...a. if no letter can be repeated?b. if the string starts with G and letters can be repeated?c. if the string ends with A and letters cannot be repeated

A certain digital music player randomly plays each of 10 songs.      Once a song is played, it is not repeated until all the songs have been played. In how many      Different ways can the player play the 10 songs?     ​Ans:  b.​Forming a Committee Four members from a 50-person committee are to be selected randomly      to serve as chairperson, vice-chairperson, secretary, and treasurer.  The first person selected is      the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth,      the treasurer.  How many different leadership structures are possible?     ​Ans: C   Simple Random Sample How many different simple random samples of size 7 can be obtained from     a population whose size is 100?

Please answer correctly, deals with permutations,  combination, and counting principle.