I need help answering the math assignment. Below is the the questions that needs to be completed.

O ca) How many 5 digit numbers ( N ) start with either a 1 er a 97 ( ) start and end with an even digit ? ( 6) A five digit number is chosen at random. What is The probability that the number () starts with either a 1 or a 9? ( i ) starts and ends with an even digit ? 2 ) ( a ) What is The number of positive integers not greater Than a 1000 That are not divisible by either 3 ,5 or Il ? ( b) A number between 1 and 1000 is chosen at random . What is The probability That The number is not divisible by either 3 , 5 or 11 ? 3) Prove That 5 3" ( 1 ) = 4" ( Hint : Use The binomial Theorem (4 ) ( ) In how many ways a 4 letter word can be formed from the letters of The word (i) Denmark? ( in ) Finland? ( b) A 4 letter word is generated at random using The letters of The word Denmark . Let E be the letterThe "l The event that the generated word ends in The letter r, and let F be The event That the generated word starts with the letter n. ( i) Find P(E ), P (F ) and P(ENF ). ( in ) Find The conditional probabilities P(ELF ) and P(FIE ) . Are the events E and F independent? POWCT