Mathematics : asked on tgamble1
 24.08.2021

Decide if the situation involves permutations, combinations, or neither. Explain your reasoning.
The number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation

. 4

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Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

The situation involves permutation. Permutation deals with arrangements of objects. It talks about ways peoples or objects can be arranged with or without restriction. According to the question,

The number of ways 13 people can line up in a row for concert tickets can be expressed as

13! = 13 * 12 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

13! = 6,227,020,800 ways

Hence the number of ways 13 people can line up in a row is 6,227,020,800 different ways and the situation involves permutation.

Mathematics
Step-by-step answer
P Answered by PhD
Imagine that 12 people are deciding who is the first in queue. Each of them can be first, then you have 12 ways to choose somebody to be the first. Then remains 11 people and you have 11 ways to select who will be the second in queue. Then from 10 people you can choose in 10 ways who will be the third in queue, from 9 you have 9 ways to choose who will be the 4th and so on.
Using the product rule, you obtain that you have 
12\cdot 11\cdot 10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=12!
possible ways line up in a row 12 people for concert tickets. So, this situation involves permutations.

12!
Mathematics
Step-by-step answer
P Answered by PhD
Imagine that 12 people are deciding who is the first in queue. Each of them can be first, then you have 12 ways to choose somebody to be the first. Then remains 11 people and you have 11 ways to select who will be the second in queue. Then from 10 people you can choose in 10 ways who will be the third in queue, from 9 you have 9 ways to choose who will be the 4th and so on.
Using the product rule, you obtain that you have 
12\cdot 11\cdot 10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=12!
possible ways line up in a row 12 people for concert tickets. So, this situation involves permutations.

12!
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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