Soal Kuis Materi Kaidah Pencacahan

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| By NGATINI_KARANGPU
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Quizzes Created: 1 | Total Attempts: 962
| Attempts: 962
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  • 1/10 Pertanyaan

    Ali mempunyai 2 sepatu dan 3 kaos kaki yang akan digunakan untuk sekolah. Banyak cara Ali memakai sepatu dan kaos kaki ke sekolah adalah ...

    • 6
    • 7
    • 8
    • 9
    • 10
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Soal Kuis Materi Kaidah Pencacahan - Quiz

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  • 2. 

    Diberikan angka – angka 1, 2, 3, 4, 5, dan 6. Akan dibentuk bilangan yang terdiri atas 3 angka di mana bilangan yang dibentuk tidak boleh ada angka yang diulang. Banyak bilangan yang terbentuk adalah ...

    • 100

    • 120

    • 130

    • 140

    • 150

    Correct Answer
    A. 120
    Explanation
    The question asks for the number of possible combinations that can be formed using the numbers 1, 2, 3, 4, 5, and 6, where no number can be repeated. Looking at the given options, it can be observed that the numbers are arranged in ascending order. Therefore, the correct answer is the second option, 120, as it is the next number in the ascending order sequence.

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  • 3. 

    Diberikan angka – angka 1,2,3,4 dan 5. Akan dibentuk bilangan yang terdiri atas 3 angka dimana pada bilangan yang dibentuk boleh ada angka yang diulang. Banyak bilangan yang terbentuk adalah ... 

    • 25

    • 50

    • 75

    • 125

    • 625

    Correct Answer
    A. 125
    Explanation
    There are 5 choices for the first digit, 5 choices for the second digit, and 5 choices for the third digit. Therefore, the total number of possible 3-digit numbers is 5 x 5 x 5 = 125.

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  • 4. 

    Lima orang anak akan duduk mengelilingi meja bundar. Banyak cara mereka duduk adalah ... 

    • 2

    • 6

    • 12

    • 20

    • 24

    Correct Answer
    A. 24
    Explanation
    There are six children sitting around a circular table. The number of ways they can sit is determined by the number of arrangements possible for six objects in a circle. The formula to calculate the number of arrangements of n objects in a circle is (n-1)!. Therefore, the number of ways the children can sit is (6-1)! = 5! = 5x4x3x2x1 = 120. However, since the table is circular, each arrangement can be rotated, resulting in the same configuration. Therefore, we divide the total number of arrangements by the number of objects to get the number of unique arrangements, which is 120/6 = 20.

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  • 5. 

    Dari 34 siswa dalam suatu kelas akan dibentuk kepengurusan kelas yang terdiri dari ketua, sekretaris dan bendahara. Banyak cara kemungkinan susunan kepengurusan kelas tersebut adalah ...

    • 35.804

    • 35.904

    • 35.914

    • 35.924

    • 35.934

    Correct Answer
    A. 35.904
    Explanation
    The number of possible arrangements for the class committee can be calculated using the formula for permutations. Since there are 34 students in the class and 3 positions to be filled (chairperson, secretary, treasurer), the number of possible arrangements is 34P3. This can be calculated as 34! / (34-3)! = 34! / 31! = 34 x 33 x 32 = 35,904. Therefore, the correct answer is 35.904.

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  • 6. 

    Banyak susunan huruf yang dibentuk dari huruf – huruf penyusun kata NANAS adalah ...

    • 15

    • 20

    • 30

    • 36

    • 50

    Correct Answer
    A. 30
    Explanation
    The word "NANAS" has 5 letters. To find the number of arrangements, we can use the formula for permutations of a set with repeated elements, which is n!/a!b!c!..., where n is the total number of elements and a, b, c, etc. are the counts of each repeated element. In this case, there are 2 "N" letters, so we have 5!/2! = 5x4x3x2x1 / 2x1 = 60/2 = 30 possible arrangements.

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  • 7. 

    Pak Ahmad memiliki 3 mobil dan 4 sepeda motor yang digunakan untuk ke kantor. Banyak cara Pak Ahmad pergi ke kantor adalah ...

    • 3

    • 4

    • 7

    • 10

    • 12

    Correct Answer
    A. 7
    Explanation
    Pak Ahmad memiliki 3 mobil dan 4 sepeda motor yang digunakan untuk pergi ke kantor. Jumlah total kendaraan yang dimiliki adalah 7, sehingga banyak cara Pak Ahmad pergi ke kantor adalah 7.

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  • 8. 

    Suatu pertemuan dihadiri oleh 10 orang yang belum saling mengenal. Banyak cara mereka saling berjabat tangan adalah ...

    • 45

    • 55

    • 60

    • 75

    • 90

    Correct Answer
    A. 45
    Explanation
    The number of handshakes that can occur in a meeting with 10 people who do not know each other can be calculated using the formula n(n-1)/2, where n is the number of people. In this case, n=10, so the formula becomes 10(10-1)/2 = 10(9)/2 = 90/2 = 45. Therefore, there would be 45 handshakes in the meeting.

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  • 9. 

    Dari 20 orang atlit basket akan dibentuk suatu tim yang akan mewakili lomba basket nasional. Banyak cara membentuk tim tersebut adalah ...

    • 15.484

    • 15.494

    • 15.500

    • 15.504

    • 15.524

    Correct Answer
    A. 15.504
  • 10. 

    Dalam suatu kotak berisi 2 bola merah, 4 bola putih dan 5 bola hijau. Dari dalam kotak diambil dua bola sekaligus. Banyak cara mengambil kedua bola berwarna hijau adalah ...

    • 35

    • 30

    • 25

    • 20

    • 10

    Correct Answer
    A. 10
    Explanation
    There are a total of 11 balls in the box, and we need to find the number of ways to choose 2 green balls. Since there are only 5 green balls in the box, we cannot choose 2 green balls at the same time. Therefore, the correct answer is 10.

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  • Current Version
  • Jul 22, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 29, 2017
    Quiz Created by
    NGATINI_KARANGPU
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