1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
8

There are 15 members of the show choir. In how many ways can you arrange 4 members in the front row when order does not matter?

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0
<span>32760 ways. Because it is a permutation it would be 15!. Which is 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1 </span><span />
OLEGan [10]3 years ago
3 0
We need to find the number of combinations of the 15 members taken 4 at a time:
15C4=\frac{15!}{4!11!}=\frac{15\times14\times13\times12}{4\times3\times2\times1}=1365
You might be interested in
Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i
Vsevolod [243]

\huge \boxed{\mathfrak{Answer} \downarrow}

\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\

Multiply both numerator and denominator of \sf \frac{5-3i}{-2-9i} \\ by the complex conjugate of the denominator, -2+9i.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)})  \\

Multiplication can be transformed into difference of squares using the rule: \sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}})  \\

By definition, i² is -1. Calculate the denominator.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85})  \\

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85})  \\

Do the multiplications in \sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right).

\large \bf \: Re(\frac{-10+45i+6i+27}{85})  \\

Combine the real and imaginary parts in -10+45i+6i+27.

\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85})  \\

Do the additions in \sf-10+27+\left(45+6\right)i.

\large \bf Re(\frac{17+51i}{85})  \\

Divide 17+51i by 85 to get \sf\frac{1}{5}+\frac{3}{5}i \\.

\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i)  \\

The real part of \sf \frac{1}{5}+\frac{3}{5}i \\ is \sf \frac{1}{5} \\.

\large  \boxed{\bf\frac{1}{5} = 0.2} \\

3 0
2 years ago
Help me! I need to finish these questions quickly!!!!
goldfiish [28.3K]

Answer:

18

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he
timofeeve [1]

Answer:

33 chairs

Step-by-step explanation:

3 0
3 years ago
Two friends leave their houses at the same time and run across town towards each other. The first friend runs at a speed of 8 mi
GalinKa [24]
2 and a half hours estimate
5 0
3 years ago
Read 2 more answers
Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every
Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

t = \frac{200}{8} s = 25 s

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0
3 years ago
Read 2 more answers
Other questions:
  • A birthday celebration meal is $ 50.20 $50.20 including​ tax, but not the tip. Find the total cost if a 15 % 15% tip is added to
    10·2 answers
  • The following is an arithmetic sequence that has 10 numbers LaTeX: 1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}.1 , a 2 , a 3 , a 4
    15·1 answer
  • (HELP NEEDED) (PAST DUE) (STUCK) Please write a number line for the number 3
    7·2 answers
  • Help pls!
    5·1 answer
  • (4,4) and (-2,-2) round to the nearest tenth
    7·1 answer
  • The volume of a box 4in wide 2in high and 5in long is
    5·1 answer
  • (!!!Urgent!!!)If the area of a circle is 49pi square units the the diameter is 7 units
    6·1 answer
  • Anyone good at pre algebra?
    6·1 answer
  • Lin's sister has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day.
    8·1 answer
  • Can someone help me with one pleaseT (ToT)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!