( Please help me solve these 3 questions, please make the answer on paper with very good hand-writing. without interlacing font )

*THE ANSWER SHOULD BE UNIQUE*

*BE CARFUL WITH WATERMARK AND SEE THE QUESTION WELL*

*DISCRETE MATHEMATICS*

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a) How many words (with or without any meaning) can be formed by arranging the letters in the word MEDITERRANEAN? ero b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars? c) Students need to answer 8 out of 10 questions in mathematics exam. In how many ways can a student choose 8 questions if the first three questions are mandatory? d) The English alphabet contains 5 vowels and 21 consonants. Find the number of 5-letter words (with or without any meaning) composed of 3 different consonants and 2 different vowels