- #1
bllnsr
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Homework Statement
http://i49.tinypic.com/wmmhbl.png
Homework Equations
The Attempt at a Solution
my answers :
Q1:(a)
(i) 8!
(ii) 4!*5!
Q1:(b)
7P3*5P2
Q2:
4320 ways
Q3:
12!*3!
Are my answers correct?
Last edited:
P or C?bllnsr said:Q1:(b)
7P3*5P2
Doesn't seem enough. How did you arrive at that?Q2:
4320 ways
The mugs of each colour are identical, and you only care about the pattern of colours here.Q3:
12!*3!
bllnsr said:Q2:
6!*3!=4320 ways
bllnsr said:Ok so Q1(b) should be 7C3*5C2=350 ways right?
bllnsr said:@Michael Redei
Q3:
1 red box + 4 identical blue mugs + 7 identical yellow mugs = 12!
and there are 3 mugs in the red box so it should be 12!*3!
Dick said:Some of those mugs are identical! For example, there aren't 3! ways of arranging 3 identical red mugs. There's only one.
bllnsr said:Q3:
12!/7!*4!=3960 correct?
bllnsr said:Q3:
12!/7!*4!=3960 correct?
A permutation is a way of arranging a set of objects in a specific order. The number of possible permutations depends on the number of objects and the order in which they are arranged.
To solve a permutation question, you should first identify the number of objects in the set and the specific order in which they need to be arranged. Then, use the permutation formula nPr = n! / (n-r)! to calculate the number of possible arrangements.
A permutation considers the order of the objects, while a combination does not. For example, the permutations of ABC are ABC, ACB, BAC, BCA, CAB, and CBA, while the combinations are ABC, ACB, BAC, and CAB.
Sure, an example of a permutation question would be: How many ways can 6 books be arranged on a shelf if one book must always be placed in the middle?
Yes, there are a few shortcuts for solving certain types of permutation questions, such as when there are repeated objects. These shortcuts involve using combinations and dividing by the factorial of the number of repeated objects. However, it is always important to understand the basic formula and principles behind permutations before using shortcuts.