9. How many ways can three balls be chosen randomly from a bag of 8 red balls, 3 white balls and 9 blue balls if a all are red b. all are white c. two balls are red and one is white d. one ball for each colour

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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ten points. How many triangles can be drawn using these points as vertices?
9. How many ways can three balls be chosen randomly from a bag of 8 red balls, 3 white balls
and 9 blue balls if
a all are red
b. all are white
c. two balls are red and one is white
d. one ball for each colour
SMO025 2019/2020
Tutorial 9 : Permutation and Combination
10. The parent-teacher'sassociation committee of a school consisting of 6 members is to be formed
from 7 parents, 4 teachers and the principal, In how many ways can the committee be formed
so that it includes
a. the principal
b. exactly 3 parents
c. not more than 3 parents
11. There are 6 routes for traveling from A to B and 4 routes for traveling from B to C, Find the
number of ways a person can travel
a from A to C via B
b. from A to C and back to A via B in each trip
c. from A to C and back to A via Bin each tr ip without taking the same route more than one e.
12. For a badm inton doubles game, 2 players are chosen from among 5 male and 3 female players
to represent a elub. In how many ways can this doubles pair be selected if
a the team is amixed double, comprising one male player and one female player
b. the team is eithera male pair or a female pair and no mixed pmir is allowed.
Transcribed Image Text:Edit Page Protect Toöls 65% 2/2 abc Annotate 1:1 Rotate Auto Scroll Read Mode Background Screen Grab Find Highlight ten points. How many triangles can be drawn using these points as vertices? 9. How many ways can three balls be chosen randomly from a bag of 8 red balls, 3 white balls and 9 blue balls if a all are red b. all are white c. two balls are red and one is white d. one ball for each colour SMO025 2019/2020 Tutorial 9 : Permutation and Combination 10. The parent-teacher'sassociation committee of a school consisting of 6 members is to be formed from 7 parents, 4 teachers and the principal, In how many ways can the committee be formed so that it includes a. the principal b. exactly 3 parents c. not more than 3 parents 11. There are 6 routes for traveling from A to B and 4 routes for traveling from B to C, Find the number of ways a person can travel a from A to C via B b. from A to C and back to A via B in each trip c. from A to C and back to A via Bin each tr ip without taking the same route more than one e. 12. For a badm inton doubles game, 2 players are chosen from among 5 male and 3 female players to represent a elub. In how many ways can this doubles pair be selected if a the team is amixed double, comprising one male player and one female player b. the team is eithera male pair or a female pair and no mixed pmir is allowed.
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*目
Tutorial 9: Permutation and Combination
Tutorial 9: Pemutat ion and Combination
1. Six volumes of encyclopedia are placed on a shelf In how many different ways can they be
arranged? Two of the volumes are bound in red. In how many ways can the books now be
arranged if the two red volumes are not next to each other?
2. There are eight competitors in the final of a 200m race. The first three competitorsto complete
the course will all receive medals. Calculate the number of different possible groups of medal
winners.
3. Given the word PERINGKAT,
a. how many arrangements can be made if all the letters are used ?
b. In how many ways can 4 letters be chosen and arranged beginning with the letter N ?
c. In how many ways can 4 letters be chosen and arranged containing the letter A ?
4. Given the digits 6, 7, 8, 9,
a. how many four number digits can be formed if there's no repetition of digits ?
b. how many four number digits can be fomed if repetition is allowed ?
c. how many four number digits between 6000 and 7000 can be formed if repetition is allowed?
5. Four married couples bought 8 tickets in a row for a concert. In how many ways can they be
seated if
a. there is no restrictions
b. each couple sits together
c. all the men are seated together with all the women on their right ?
6. Eight people, of whom P, Q, and R are three of them, arrange themsel ves in a straight line. In
how many ways can this be done if
a. Pand Q must not be together,
b. P, Q and R must not be together.
7. Find the number of selections of 4 letters that can be made from the let ters in the word
INTEGRAL How many of these selections do not contain a vowel?
8. Ten distinet points each I cm apart are collincar. One other point is not collinear with these
ten points. How many triangles can be drawwn using these points as vertices?
BO 00
76%
Transcribed Image Text:內 76% 1/2 F to Picture Annotate 同回 Rotate Auto Scroll Background Read Mode Screen Grab Find Hie *目 Tutorial 9: Permutation and Combination Tutorial 9: Pemutat ion and Combination 1. Six volumes of encyclopedia are placed on a shelf In how many different ways can they be arranged? Two of the volumes are bound in red. In how many ways can the books now be arranged if the two red volumes are not next to each other? 2. There are eight competitors in the final of a 200m race. The first three competitorsto complete the course will all receive medals. Calculate the number of different possible groups of medal winners. 3. Given the word PERINGKAT, a. how many arrangements can be made if all the letters are used ? b. In how many ways can 4 letters be chosen and arranged beginning with the letter N ? c. In how many ways can 4 letters be chosen and arranged containing the letter A ? 4. Given the digits 6, 7, 8, 9, a. how many four number digits can be formed if there's no repetition of digits ? b. how many four number digits can be fomed if repetition is allowed ? c. how many four number digits between 6000 and 7000 can be formed if repetition is allowed? 5. Four married couples bought 8 tickets in a row for a concert. In how many ways can they be seated if a. there is no restrictions b. each couple sits together c. all the men are seated together with all the women on their right ? 6. Eight people, of whom P, Q, and R are three of them, arrange themsel ves in a straight line. In how many ways can this be done if a. Pand Q must not be together, b. P, Q and R must not be together. 7. Find the number of selections of 4 letters that can be made from the let ters in the word INTEGRAL How many of these selections do not contain a vowel? 8. Ten distinet points each I cm apart are collincar. One other point is not collinear with these ten points. How many triangles can be drawwn using these points as vertices? BO 00 76%
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