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Question:
Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.
(a)How many ways can this be done, if the order of the choices is taken into consideration?
(b)How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
(a) 6 choices
(b) 3 Choices
Step-by-step explanation:
Given:
3 Colors
Order of choice : Red, Blue, Green
(a) Order of the choices taken into consideration :
When we are picking the first colour there are 3 color choice.
When we are picking second colour there are 2 choice and so on.
Therefore, total choices are = 3*2 = 6 choices
(b) Order of the choices not taken into consideration :
When to take this option we choose as and the remove the duplicates
Therefore, choices are = =
= 3 Choices
Answer:
Option A. 2
Step-by-step explanation:
To solve this problem we can write equations for each shirt color.
Let's call:
b = black shirts
g = gray shirts
w = white shirts
B = brown shirts
If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:
(i)
If you have 5 times more white shirts than gray shirts and gave a white shirt then:
(ii)
It has 2 times more gray shirts than brown camsas, then:
(iii)
It has the same amount of black and white shirts
(iv)
We want to find the number of gray shirts.
Then replace (iv) in (ii)
(v)
Now substitute (v) into (i) and clear g.
Joan has 2 gray shirts