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Permutation and combination

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Mr. Bee moderators
25/09/2018 at 09:17
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1
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A boy has 3 pairs of trousers, 2 jackets, and 5 shirts. How many different combinations of trousers, jackets, and shirts can he put together?

Permutation and combination

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    Quoc Tran Anh Le Coordinator 29/09/2018 at 06:56

    There are: \(3\times2\times5=30\)combinations

    Selected by MathYouLike

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falcon handsome moderators
17/04/2017 at 11:28
Answers
2
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7 tennis balls are to be put into 4 different tubes , so that each tube has at least one ball . How many ways are there to do so?

Permutation and combination

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    FA KAKALOTS 09/02/2018 at 21:43

    Arrcoding to the context, 4 balls must be put into 4 different tubes that each tube must have a ball. So the free balls are: 7−4=3(balls)

    There are: 6.3=18(ways)

     divided by 1 free ball/tube.

    There are: 4.3.3=36(ways)

     divided by 2 free ball/tube.

    There are: 4.1=4(ways)

    divided by 3 free ball/tube.

    There are total: 18+36+4=58(ways)

    ANSWER: 58 ways

  • ...
    Lê Quốc Trần Anh Coordinator 28/06/2017 at 08:04

    Arrcoding to the context, 4 balls must be put into 4 different tubes that each tube must have a ball. So the free balls are: \(7-4=3\left(balls\right)\)

    There are: \(6.3=18\left(ways\right)\) divided by 1 free ball/tube.

    There are: \(4.3.3=36\left(ways\right)\) divided by 2 free ball/tube.

    There are: \(4.1=4\left(ways\right)\)divided by 3 free ball/tube.

    There are total: \(18+36+4=58\left(ways\right)\)

    ANSWER: 58 ways


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falcon handsome moderators
17/04/2017 at 11:31
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0
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14 points are tabulated on a rectangle. Every 2 points has a distance of 1 cm. How many triangles of area 6 cm2 can be formed using any of these 3 points as vertices 

Permutation and combination


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falcon handsome moderators
17/04/2017 at 11:29
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2
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How many ways are there to put 4 letters into 5 letter boxes?

Permutation and combination

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    FA KAKALOTS 09/02/2018 at 21:44

    The number of ways to put 4 letters into 5 letter boxes is :

    |P45=5!(5−4)!=120

  • ...
    Phan Thanh Tinh Coordinator 18/04/2017 at 14:34

    The number of ways to put 4 letters into 5 letter boxes is :

    \(|P^4_5=\dfrac{5!}{\left(5-4\right)!}=120\)


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taylor swift
31/03/2017 at 20:43
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Jane has 9 pieces of bite-size chocolate in the fridge. She is going to take at least 1 piece every day, In how many ways can she finish the chocolate?

Permutation adn combination


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taylor swift
31/03/2017 at 20:33
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There are 12 points on a circle

(a) How many triangles can be formed using any 3 points as their vertices?

(b) How many quadrilaterals can be formed using any 4 points as their vertices?

Permutation adn combination


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taylor swift
31/03/2017 at 20:30
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8
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How many numbers from 1 to 200 do not have the digit 2?

Permutation adn combination

  • ...
    Futeruno Kanzuki Coordinator 31/03/2017 at 20:49

    There are : (200 - 1) : 1 + 1 = 200 numbers from 1 to 200

    We have a sequence of two-digit numbers are as follows :

    2 ; 12 ; 22 ; 32 ; ....... ; 192

    Apply a formula to count numbers , we have :

    (192 - 2) : 10 + 1 = 20 

    There are also numbers with 2 digits such as

    20 ; 21 ; 23 ; 24 ; .... ; 29 ; 120 ; 121 ; 122 ; 123 ; ...... 129

    And there are have 18 also numbers .

    So , from these information , we have 38 numbers have digit 2

    We have :

    200 - 38 = 162 (numbers)

    There are 162 numbers from 1 to 200 do not have the digit 2 

  • ...
    Kokone 04/04/2017 at 14:18

    There are : (200 - 1) : 1 + 1 = 200 numbers from 1 to 200

    We have a sequence of two-digit numbers are as follows :

    2 ; 12 ; 22 ; 32 ; ....... ; 192

    Apply a formula to count numbers , we have :

    (192 - 2) : 10 + 1 = 20 

    There are also numbers with 2 digits such as

    20 ; 21 ; 23 ; 24 ; .... ; 29 ; 120 ; 121 ; 122 ; 123 ; ...... 129

    And there are have 18 also numbers .

    So , from these information , we have 38 numbers have digit 2

    We have :

    200 - 38 = 162 (numbers)

    There are 162 numbers from 1 to 200 do not have the digit 2 

  • ...
    Nguyen Van Hung 27/06/2017 at 20:34

    There are : (200 - 1) : 1 + 1 = 200 numbers from 1 to 200

    We have a sequence of two-digit numbers are as follows :

    2 ; 12 ; 22 ; 32 ; ....... ; 192

    Apply a formula to count numbers , we have :

    (192 - 2) : 10 + 1 = 20 

    There are also numbers with 2 digits such as

    20 ; 21 ; 23 ; 24 ; .... ; 29 ; 120 ; 121 ; 122 ; 123 ; ...... 129

    And there are have 18 also numbers .

    So , from these information , we have 38 numbers have digit 2

    We have :

    200 - 38 = 162 (numbers)

    There are 162 numbers from 1 to 200 do not have the digit 2 .


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falcon handsome moderators
31/03/2017 at 17:35
Answers
4
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One digit is selected from 0,1,2,3,4,5,6,7 and 8 each time to from a 4-digit number. Each digit is used only once in each number

(a) How many such numbers are there?

(b) How many of these numbers are even?

Permutation adn combination

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    Futeruno Kanzuki Coordinator 31/03/2017 at 20:15

    a) There are :7 x 7 x 6 x 5 = 1470 numbers

    b) There are :4 x 4 x 3 x 2 = 96 even numbers

  • ...
    FA KAKALOTS 09/02/2018 at 21:45

    a) There are :7 x 7 x 6 x 5 = 1470 numbers

    b) There are :4 x 4 x 3 x 2 = 96 even numbersleuleu

  • ...
    Kokone 04/04/2017 at 14:18

    a) There are :7 x 7 x 6 x 5 = 1470 numbers

    b) There are :4 x 4 x 3 x 2 = 96 even numbers


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falcon handsome moderators
31/03/2017 at 17:14
Answers
4
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4 digits are selected from 0,1,2,3,4,5,6,7 and 8 each time to from a 4-digit number

(a) How many such numbers are there?

(b) How many of these numbers are old?

Permutation adn combination

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    Futeruno Kanzuki Coordinator 31/03/2017 at 20:19

    a) There are : 7 x 7 x 6 x 5 = 1470 numbers

    b) There are : 4 x 3 x 2 x 1 = 24 old numbers 

  • ...
    FA KAKALOTS 09/02/2018 at 21:45

    ANSWER :

    a,There are : 7 x 7 x 6 x 5 = 1470 ( numbers )

    b,There are : 4 x 3 x 2 x 1 = 24 ( old numbers )

    [hiu]  Easy,right ?oe

  • ...
    Cố Lên Nào Các Bạn 08/04/2017 at 10:53

          ANSWER :

    a,There are : 7 x 7 x 6 x 5 = 1470 ( numbers )

    b,There are : 4 x 3 x 2 x 1 = 24 ( old numbers )

    hiu Easy,right ?


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