Please help m solve the questions below and kindly explain so I can be able to understand them by myself. Thanks a lot.  (1) Think about the three-digit numbers that can be formed from the digits 1, 2, 3, 4 and 5 without repetition. (a) How many of these are there? (b) How many of them are even? (c) How many of them are greater than 250?

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Please help m solve the questions below and kindly explain so I can be able to understand them by myself. Thanks a lot. 

(1) Think about the three-digit numbers that can be formed from the digits 1, 2, 3, 4
and 5 without repetition.
(a) How many of these are there?
(b) How many of them are even?
(c) How many of them are greater than 250?


(2) Some of these are partitions and some aren’t. You don’t need to find the answer, you
just need to say why it is or isn’t a partition.
(a) Breaking this class up into first-year students, second-year students, etc.
(b) Breaking this class up into CS majors, math majors, etc.
(c) Splitting up the numbers {1, 2, . . . 10} into even and odd
(d) Splitting up the numbers {1, 2, . . . 10} into multiples of three, multiples of two,
or neither

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