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olga nikolaevna [1]
3 years ago
13

Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a

box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

Answer: 95040

Step-by-step explanation:

It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)

Hence, to arrange 5 books from a total of 12 books on a book shelf is

nCr * r!

12C5 * 5!

792 * 120

= 95040

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Semmy [17]
The answer will be D 15m+2n
7 0
3 years ago
Read 2 more answers
Dan buys 24 packets of nuts. Each packet of nuts weighs 225g. Work out the total weight of all the packets of nuts that dan buys
Vlada [557]

Answer:

 Total weight of the nuts bought by Dan =  5.4 kg

Explanation:

Number of packets of nuts bought by Dan = 24

Weight of each packet of nuts = 225g

 Total weight of the nuts bought by Dan = Number of packets of nuts bought by Dan * Weight of each packet of nuts

    Total weight of the nuts bought by Dan = 24 * 225 = 5400 g = 5400/1000 kg = 5.4 kg

    Total weight of the nuts bought by Dan =  5.4 kg

3 0
3 years ago
Help me please explain on how to do this
Leviafan [203]

Answer:

Easy

Step-by-step explanation:

To find the perimeter, add all the sides together.

12+16+20=48

To find the area, you multiply the sides that make the right angle of the triangle,

12×16=192

And divide it by two. This step is important as if you don't divide it by two, you will end up with the area of a square.

192÷2=96

Finito. Oh and don't forget to add units.

Cm for perimeter and Cm(squared) for area. :)

7 0
3 years ago
A container of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced
77julia77 [94]

Answer:

Because of probability, a green or red bead would be drawn 14/20 times because there are 20 total beads and adding together the numbers for green and red. From this, if you multiply by 3/3 you can see that 42/60 times it will be a green bead. A reasonable prediction for green beads would then be 42 times. Hope it helps :D

7 0
3 years ago
What transformations of the parent function (X) = Ixl should be made to obtain the graph fx) = -|x|- 5?
Ulleksa [173]

Answer:

Step-by-step explanation:

D. Reflection over the y axis shift up 5 units

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