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
zysi [14]
2 years ago
12

In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur

?
Mathematics
1 answer:
miv72 [106K]2 years ago
5 0

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = ^{18}C_{2}

^{18}C_{2} = \frac{18!}{(18-2)!2!}

^{18}C_{2} = \frac{18!}{16!2!}

^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}

^{18}C_{2} = \frac{18\times17}{2\times1}

^{18}C_{2} = \frac{306}{2}

^{18}C_{2} = 153

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

You might be interested in
Please help me...I gotta get this right for my test. (15 points)
ss7ja [257]

Answer:

negative slope

Step-by-step explanation:

you have to subtract

8 0
3 years ago
Read 2 more answers
Many consumer groups feel that the U.S. Food and Drug Administration (FDA) drug approval process is too easy and, as a result, t
Zigmanuir [339]

Answer:

If we reject the null hypothesis based on the evidence, then our  conclusion should be Option c.

If we do not reject the null hypothesis based on the evidence, then our  conclusion should be Option a.

Step-by-step explanation:

We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.

So, Null hypothesis, H_0 = New drug is unsafe

 Alternate Hypothesis, H_1 = New drug is safe

<em>Now, if we reject the null hypothesis based on the evidence, then our  conclusion should be that : </em>

There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.

<em>And If we do not reject the null hypothesis based on the evidence, then our  conclusion should be that : </em>

There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.

5 0
3 years ago
Find the area of the unshaded square
kogti [31]
I think your diagram had an error because the instruction says that it is a SQUARE frame with sides that are 8 inches long.

Anyways, following the question, the area of the shaded parts should be:
2(8 x 2) + 2(8 - 2 - 2)(2)
= 32 + 16
= 48 sq in.
3 0
3 years ago
I NEED HELP hdjnsjxnskhd
Tomtit [17]

Answer:

B and D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
There are 15 boys and 18 girls in a class. 40% of the boys and 1 /6 of the girls play basketball. How many students play basketb
finlep [7]

Answer:

9

Step-by-step explanation:

40% of 15 = 6.

1/6 of 18 = 3.

6 + 3 = 9.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Reduce this algebraic fraction (x-y/x^2-1)(x-1/x^2-y^2)
    6·2 answers
  • ava wants to buy three pairs of a certain style of jeans at two different stores jeans jam sells the jeans 25% off the $24.99 re
    9·1 answer
  • Sarah uses a recipe to make 9 gallons of juice. The containers she plans to use to store the juice have a capacity of 1 pint. Ho
    11·2 answers
  • The amplitude of y = -2 sin 3x is
    10·1 answer
  • What greater than 1/3
    5·2 answers
  • Help me please i need help bad please just help me :(
    7·1 answer
  • Given the function f(x)=6x-11, find f(-1/3).
    6·1 answer
  • What is a decimal number that is larger than 0.0467 but smaller than 0.0468?
    15·2 answers
  • Which number has the greater value, 7*10^-9 or 6*10^-4
    8·1 answer
  • For a fair coin, suppose you toss the coin 100 times.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!