Pls help with this much apreciated

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

3 years ago

How do I know an equation is downhill

mr_godi [17]

Answer:

The graph of a linear equation can either run uphill or downhill. The slope is positive when the line is uphill, while the downhill line represents a negative slope. To find the slope, find two coordinates along the line.

8 0

3 years ago

Read 2 more answers

The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3 8 of the items barbecued

sineoko [7]

Answer: 7/24

Step-by-step explanation:

Fraction of the items barbecued that are veggie burgers = 3/8

Fraction of the items barbecued that are corn cobs = 1/3

The fraction of the items barbecued that are mushrooms caps will be:

= 1 - (3/8 + 1/3)

The lowest common multiple of 8 and 3 is 24.

= 1 - (3/8 + 1/3)

= 1 - [(3/8 × 24) + [(1/3 × 24)]

= 1 - (9/24 + 8/24)

= 1 - 17/24

= 7/24

8 0

3 years ago

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations

Anna71 [15]

13C10 = 13C3 = 13x12x11/(1x2x3) =
"286 ways".

4 0

3 years ago

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Wants to create a path using pebbles. She has 8 bas

frez [133]

The answer to that will be the letter c , 24ft

8 0

3 years ago