Soal Permutasi dan Kombinasi

November 15, 2012 · Posted in Matematika SD, Matematika SMA, matematika smp 

Berikut beberapa soal berkaitan dengan permutasi dan kombinasi (biasanya materi SMA Kelas XI), mungkin ada yang bisa membantu langsung tulis saja jawabannya di kotak komentar. Soal dalam bahasa Inggris.
1. If you join all the vertices of a heptagon, how many quadrilateral will you get?

2.    Four students have to be chosen 2 girls as the captain and vice captain and two boys as captain and vice captain of the school. There
are 15 eligible girls and 12 eligible boys.  In how many ways can they be chosen if Sunita is sure to be the captain?
114        1020      360      1848    1500

3.    A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can
be answered if the first 2 questions have 3 choices and the last 3 have 4 choices.
255      816     192     100     144

4.    How many 5 digit numbers are there with distinct (=terang, jelas) digits?
144     27216        4386        6432        720

5.    In how many ways can 15 students be seated in a row such that the 2 most talkative children never sit together?
14!. !4!        15.14!        14!      14! 13        15!

6.    In a school 5 colours are allotted to each house. If the flag of Tagore House has to be a sequence of three blocks of different
colours, then how many flags can they choose from?
9      27        60        20        15

7.    Find the number of words which can be formed by using the letters of the word equation if each word has to start with a vowel.
40320        1260        1080        400        25200

8.    How many five digit numbers can be formed using the digits 0, 2, 3, 4, and 5 when repetition is allowed such that the number formed is
divisible by 2 or 5 or both?
100        150        3125        1500        125

9.    A straight road runs from north to south. It has two turnings towards east and three turnings towards west. In how many ways can a
person coming from east get on the road and go west?
2    3    9    6    5

10.    How many heptagon can be drawn by joining the vertices of apolygon with 10 sides?
562     120     105     400     282

11.    Four persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of the lift on any
floor other than the ground floor?
720     1296    1663    360     2500

12.    Ten different letters of an alphabet are given. 2 of these letters followed by 2 digits are used to number the products of a company. In
how many ways can the products be numbered?
52040        8100    5040    1000    4000

13.    If P(2n+1,n-1):P(2n-1,n) = 3:5, find n
2    4    6    8    10

14.    A polygon has 20 diagonals. How many sides does it have?
12    11    10    9    8

15.    A box contains 5 red and 4 blue balls. In how many ways can 4 balls be chosen such that there are most 3 balls of each colour?
132     242     60    120     240



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