EditPageProtectToöls65%2/2abcAnnotate1:1RotateAuto ScrollRead ModeBackground Screen GrabFindHighlightten 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 ballsand 9 blue balls ifa all are redb. all are whitec. two balls are red and one is whited. one ball for each colourSMO025 2019/2020Tutorial 9 : Permutation and Combination10. The parent-teacher'sassociation committee of a school consisting of 6 members is to be formedfrom 7 parents, 4 teachers and the principal, In how many ways can the committee be formedso that it includesa. the principalb. exactly 3 parentsc. not more than 3 parents11. There are 6 routes for traveling from A to B and 4 routes for traveling from B to C, Find thenumber of ways a person can travela from A to C via Bb. from A to C and back to A via B in each tripc. 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 playersto represent a elub. In how many ways can this doubles pair be selected ifa the team is amixed double, comprising one male player and one female playerb. the team is eithera male pair or a female pair and no mixed pmir is allowed. 內76%1/2F to PictureAnnotate同回RotateAuto ScrollBackgroundRead ModeScreen GrabFindHie*目Tutorial 9: Permutation and CombinationTutorial 9: Pemutat ion and Combination1. Six volumes of encyclopedia are placed on a shelf In how many different ways can they bearranged? Two of the volumes are bound in red. In how many ways can the books now bearranged 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 completethe course will all receive medals. Calculate the number of different possible groups of medalwinners.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 beseated ifa. there is no restrictionsb. each couple sits togetherc. 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. Inhow many ways can this be done ifa. 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 wordINTEGRAL 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 theseten points. How many triangles can be drawwn using these points as vertices?BO 0076%

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Description: EditPageProtectToöls65%2/2abcAnnotate1:1RotateAuto ScrollRead ModeBackground Screen GrabFindHighlightten 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 b

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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