12. How many 6-digit telephone numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 if each combination starts with 35 and none of the digits is repeated?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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12. How many 6-digit telephone numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 if each combination starts with 35
and none of the digits is repeated?
13. In how many ways can a jack, a queen and a king be chosen from a deck of 52 cards?
14. How many three digit numbers can be formed from the digits 2, 4, 6 8 and 0 with no repetitions allowed?
On
Kia 988
of ens einsgiotheq 8 noilibbs guib jenings
15. In how many ways can 9 different colored beads be arranged on a bracelet?
grignama yd ebam
16. In how many ways can 7 students be seated in a round table if 2 particular students must be seated next to each other?
20
Yn60
17. If there are 20! different seating arrangements around a round table, how many people are there?
DAYS
est of
em & to nevip ens apunb owT admet
hogmil at pahis
18. How many numbers consisting of four distinct digits be formed from the digits 1, 2...9?
a. Of these, how many are odd?
b. How many are even?
brill air to avew to edmon sill
19. How many permutations can be made with the word CONCOCTION?
grisenuco a ni
Senob
natomórk
abello
betast show aginb nova 3
eds souborg
srit Joelle
8 bis S S dliw abmix & to arismibege
fore
Fbad Istigaoris no fest holleg
20.There are 4 different Mathematics books and 5 different Science books. In how many ways can the books be arranged on a shelf
if:
a. there are no restrictions
domyl
b. books of the same subject must be placed together.
c. they must be placed altemately.
21. In how many different ways can the letters of the word PHILIPPINES be arranged such that the vowels must always
come together?
Transcribed Image Text:12. How many 6-digit telephone numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 if each combination starts with 35 and none of the digits is repeated? 13. In how many ways can a jack, a queen and a king be chosen from a deck of 52 cards? 14. How many three digit numbers can be formed from the digits 2, 4, 6 8 and 0 with no repetitions allowed? On Kia 988 of ens einsgiotheq 8 noilibbs guib jenings 15. In how many ways can 9 different colored beads be arranged on a bracelet? grignama yd ebam 16. In how many ways can 7 students be seated in a round table if 2 particular students must be seated next to each other? 20 Yn60 17. If there are 20! different seating arrangements around a round table, how many people are there? DAYS est of em & to nevip ens apunb owT admet hogmil at pahis 18. How many numbers consisting of four distinct digits be formed from the digits 1, 2...9? a. Of these, how many are odd? b. How many are even? brill air to avew to edmon sill 19. How many permutations can be made with the word CONCOCTION? grisenuco a ni Senob natomórk abello betast show aginb nova 3 eds souborg srit Joelle 8 bis S S dliw abmix & to arismibege fore Fbad Istigaoris no fest holleg 20.There are 4 different Mathematics books and 5 different Science books. In how many ways can the books be arranged on a shelf if: a. there are no restrictions domyl b. books of the same subject must be placed together. c. they must be placed altemately. 21. In how many different ways can the letters of the word PHILIPPINES be arranged such that the vowels must always come together?
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