How many distinct seven-digit phone numbers can you create from the numbers 4, 4, 5, 6, 7, 7, 7? (e.g. 445-6777 is one example)?
1 answer:
You have 7 numbers, two numbers 4 , one 5, one 6 and three numbers 7.
From these 7 numbers you can create
phone numbers, but they are not all different.
If you have two numbers 4, then you have to divide obtained number by 2! (the number of all possible permutations of two numbers 4) and since you have three numbers 7 you should divide the obtained number by 3! (<span>the number of all possible <span>permutations of three numbers 7</span>). Then</span><span /><span>
</span><span>
</span><span>
.</span>
Answer: You can create 420 different phone numbers.<span />
From these 7 numbers you can create
If you have two numbers 4, then you have to divide obtained number by 2! (the number of all possible permutations of two numbers 4) and since you have three numbers 7 you should divide the obtained number by 3! (<span>the number of all possible <span>permutations of three numbers 7</span>). Then</span><span /><span>
</span><span>
</span><span>
Answer: You can create 420 different phone numbers.<span />
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Corrected Question
The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V(5/7) represent?
Answer:
(B)the volume of the rubber ball when the radius equals five-sevenths feet
Step-by-step explanation:
The Volume of a sphere of radius r can be found using the formula:
Therefore comparing the expression: with V(r):
Thus, is the volume of a ball of radius
feet.
The correct option is B.