(a) the first digit is 6 and the other digits are different from 6 and different from each other, (b) three initial digits are greater than 5 , and the remaining digits are less than 6 , c) the first two digits are odd numbers and the remaining digits are different even numbers,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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3.51. How many landline telephone numbers are composed of 7 digits such that:
(a) the first digit is 6 and the other digits are different from 6 and different from each other,
(b) three initial digits are greater than 5 , and the remaining digits are less than 6 ,
c) the first two digits are odd numbers and the remaining digits are different even numbers,
d) the first and last digits are identical prime numbers and the digit 7 occurs only once?

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