6. How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if; a) there are no repeats allowed? b) the number is odd and no repeats allowed? c) the number is greater than 4000 and no repeats are allowed? d) the number is greater than 4000 and repeats are allowed? 7. In how many ways can a committee of five be selected from nine men and eight women if Miss Jones refuses to serve on the same committee as Mr. Smith? 8. Five cards are dealt form 52. a) How many different hands can be dealt? b) How many hands will contain 4 diamonds? c) How many hands will contain no face cards? d) How many hands will contain only spades or only clubs? e) How many hands will contain only black cards? f) How many will contain no more than 2 face cards