All categories

2 years ago

A bag contains 13 pieces of candy. In how many ways can five pieces be selected?

Mathematics

1 answer:

Whitepunk [10]2 years ago

3 0

Five pieces can be selected in 1287 ways

Step-by-step explanation:

When the selection has to be made without considering the order of selection, combinations are used.

The formula for combination is:

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

Here

Total candies = n = 13

Candies to be selected = r = 5

Putting the values in the formula

$C(13,5) = \frac{13!}{5!(13-5)!}\\=\frac{13!}{5!8!}\\=1287\ ways$

Five pieces can be selected in 1287 ways

Keywords: Combinations, selection

Learn more about combinations at:

#LearnwithBrainly

You might be interested in

Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

6 0

2 years ago

169 divided by 4 show work

nikitadnepr [17]

You could divide 100 by 4 which is 25. Then divide 69 by 4 which would bring you to 17.25. 169 divided by 4 is 42.25. The answer would be 42 with a remainder of 1

4 0

2 years ago

Simon can see two lights, light A and light B.

xz_007 [3.2K]

Answer:

2 Times

Step-by-step explanation:

Simon can see two lights A and B

Light A flashes every 15 seconds.
Light B flashes every 18 seconds.

First, we determine the next time both lights will flash together.

This is done by finding the Least Common Multiple of 15 and 18.

15=3X5

18= $2X3^2$

LCM of 15 and 18= $2X3^2X5=90$

This means that lights A and B will first flash together after 90 seconds.

Now, 240/90= $2.\overline{6}$ seconds

Therefore, the number of times more both light will flash together in the next 4 Minutes= 2 Times

3 0

2 years ago

Question 2

S_A_V [24]

Answer: B -8/7x+11/7

Step-by-step explanation:

First find the slope using teh formule $y_{2}-y_1\\x_2-x_1$ which is teh formula for slope in this case the slope would be (-8/7) then pick a pair of points in this case we will use (4,-3) plug in the slope and the coordinate pair into the intercept formula (y=mx+b) so it would look like -3=-8/7(4)+b then solve for b so the answer be 8/7x+11/7

7 0

3 years ago

Which of the following groups of numbers are all prime numbers? A. 3, 11, 23, 31 B. 2, 3, 5, 9 C. 2, 5, 15, 19 D. 7, 17, 29, 49

Mekhanik [1.2K]

A because 9 is not prime in answer B, 15 is not prime in answer C, and 49 is not prime in answer D. So the correct answer is A.

3 0

3 years ago

Read 2 more answers