(Solved by Humans)-Please if you could assist me to understand how to solve this

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?Please if you could assist me to understand how to solve this problem. I want to understand how to solve it but I have read the textbook hundred of time but it is no very clear as it only provide the formula.? Please if you could show the step by step how you arrived at the answer for each part I would greatly appreciate it.


4. Suppose that a ?= ?5 and b ?= ?20.

(a) How many elements are there in {a.. b}?

(b) How many 4-sequences on {a.. b} are there?

(c) How many 4-permutations on {a.. b} are there?

(d) How many 4-permutations on {a.. b} begin with 8?

(e) How many increasing 4-sequences on {a.. b} are there? (

f) How many increasing 4-sequences on {a.. b} begin with 8?


5. Suppose that a and b are integers and 0 ?< ?= a ?< ?b ?? ?4.

(a) How many elements are there in {a.. b}?

(b) How many 4-sequences on {a.. b} are there?

(c) How many 4-permutations on {a.. b} are there?

(d) How many increasing 4-sequences on {a.. b} are there?



6.

(a) How many 4-sequences on {0.. 9} are there?

(b) How many 4-sequences on {0.. 9} do not begin with 0?

(c) How many 4-sequences on {0.. 9} begin and end with 0?

(d) How many 4-sequences on {0.. 9} do not begin and end with 0?

(e) How many 4-sequences on {0.. 9} do not begin or end with 0?



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This question was answered on: 10 May, 2025

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(Solved by Humans)-Please if you could assist me to understand how to solve this


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