Please answer all parts 4. a) 4-letter \"words\" are there using lowercase lette

Question

Please answer all parts

4. a) 4-letter "words" are there using lowercase letters if any How many PROBLEM letter can be used in any position? (5 points) letters if the letters must be b) How many 4-letter "words" are there using lowercase distinct? (5 points) using lowercase letters if the first and last letters c) How many 4-letter "words" are there the English are consonants and the middle ones are vowels? Hint: There are 5 vowels in language. (5 points) letters of "Mississippi" be arranged? (5 d) In how many distinguishable ways can the points) play in the band, 28 are on the mathematics team e) At Jenkins High School, 49 students these and 15 students do both activities. How many students are in at least one of activities? (5 points)

Explanation / Answer

a) 26^4=456976 possible 4 letter words.

b) 25^4=390625 four letter words without an distinct letter.

              456976-390625=66,351 four letter words with an distinct letter.

e) 15 students are in both activities ...this means (49-15) =34 ---- students play only in band

and ( 28-15 )= 13 ----- students in only maths group

34+13+15= 62 students in atleast one activity

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