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13. Let S be the set of 7-digit numbers (neN: 106 ≤ n < 107). (a) Find (S). (b) How many members of S are odd? (c) How many are even?

13. Let S be the set of 7-digit numbers (neN: 106 ≤ n < 107). (a) Find (S). (b) How many members of S are odd? (c) How many are even?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question 13.** Let \( S \) be the set of 7-digit numbers \(\{ n \in \mathbb{N} : 10^6 \leq n < 10^7 \} \). **(a)** Find \(|S|\). **(b)** How many members of \( S \) are odd? **(c)** How many are even? **(d)** How many are multiples of 5? **(e)** How many have no two digits the same? **(f)** How many odd members of \( S \) have no two digits the same? **(g)** How many even members of \( S \) have no two digits the same?
Transcribed Image Text:**Question 13.** Let \( S \) be the set of 7-digit numbers \(\{ n \in \mathbb{N} : 10^6 \leq n < 10^7 \} \). **(a)** Find \(|S|\). **(b)** How many members of \( S \) are odd? **(c)** How many are even? **(d)** How many are multiples of 5? **(e)** How many have no two digits the same? **(f)** How many odd members of \( S \) have no two digits the same? **(g)** How many even members of \( S \) have no two digits the same?
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As per the policy, we are solving three parts. Please repost it and specify which part is to be solved.

It is given that, S be the set of 7-digit numbers n∈ℕ : 106≤n<107.

a) Find S.

b) How many members of S are odd?

c) How many are even?

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