Question

Four-digit numbers are to be formed using only the digits in the set: A = {1, 2, 3, 4, 5, 6, 7, 8} (a) How many such numbers can be formed if repetitions of the digits are allowed? (b) How many such numbers can be formed if repetitions of the digits are not allowed? (c) How many numbers of part (b) that don't have the digit 5?

          Four-digit numbers are to be formed using only the digits in the set:

A = {1, 2, 3, 4, 5, 6, 7, 8}

(a) How many such numbers can be formed if repetitions of the digits are allowed?
(b) How many such numbers can be formed if repetitions of the digits are not allowed?
(c) How many numbers of part (b) that don't have the digit 5?

Four-digit numbers are to be formed using only the digits in the set:

A = 1, 2, 3, 4, 5, 6, 7, 8

(a) How many such numbers can be formed if repetitions of the digits are allowed?
(b) How many such numbers can be formed if repetitions of the digits are not allowed?
(c) How many numbers of part (b) that don't have the digit 5?

Added by Stephanie R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

07/29/2023

Step 1

If repetitions are allowed, we have 8 choices for each of the 4 digits. So, there are $8^4$ possible numbers. Show more…

Show all steps

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Four-digit numbers are to be formed using only the digits in the set: A= {1,2,3,4,5,6,7, 8} How many such numbers can be formed if repetitions of the digits are allowed? How many such numbers can be formed if repetitions of the digits are not allowed? How many numbers of part (b) that don't have the digit 5?