7 1. (10 points) In a certain state, license plates consist of 8 English letters. Repetition of symbols is not allowed.
Posted: Thu May 12, 2022 6:55 am
7 1. (10 points) In a certain state, license plates consist of 8 English letters. Repetition of symbols is not allowed. How many license plates contain exactly 2 vowels? Justify! (There exist 26 letters in the English alphabet, of which 5 are vowels.) A. (21)=542640) B. (16) ยท )(=657800) C. (2) . ) . (8!)(=21879244800) D. (26).. (8!)(=26522496000) E. None of the above + ( = 2. (10 points) A store has balloons of 10 colors; one of the colors is green. Balloons of the same color are indistinguishable. Assume that the store has only 30 green balloons in stock, and at least 50 balloons of each color except green. How many different ways can you choose 50 balloons? A. (50430-1) โ (20+20-1)(= 12555656256) B. (50+50-1) โ (194110-1)(= 12558764361) C. (50+50-1) + (19410โ1) (= 12572578161) D. (50+10-1) + (20+10-1) = 12575686266) E. None of the above + = + ( 50 20