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
Kryger [21]
3 years ago
6

An excursion group of four is to be drawn from among 5 boys and 6 girls.

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
6 0

Answer:

We need group of 4 out of group of 5 + 6 = 11 people.

Part A

i)

<u>2 boys and 2 girls:</u>

  • 5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 ways

ii)

<u>4 boys or 4 girls:</u>

  • 5C4 + 6C4 = 5 + 15 = 20 ways

iii)

<u>No restrictions:</u>

  • 11C4 = (11*10*9*8)/(4*3*2) = 330 ways

Part B

<u>Combination of 3 boys and 1 girl:</u>

  • 5C3*6C1 = (5*4/2)*6 = 60

Total number of ways is 330 (found above)

<u>Required probability:</u>

  • P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%
tresset_1 [31]3 years ago
5 0

Answer:

Because you are recounting people several times. Say for example, let us number those people

{1,2,3,4} for the four girls and {1,2…7} for the boys.

One possible combination by your way is to fix one boy and girl each, say

{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.

Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.

A correct way would be to choose  girls and then choose 5− boys for 1≤≤4

So we get ∑4=1(4)(75−)=441

You might be interested in
Compare these two numbers which one has a greater value <br> 8.5 x 10^23 or<br> 9.99 x 10^21
Cloud [144]
8.5 x 10^23 is bigger because the bigger the exponent, the larger the number.
7 0
3 years ago
When adding two negative number equls a nagative number
Pani-rosa [81]

Answer:

yes

Step-by-step explanation:

if theyre both negative it will stay negative

6 0
3 years ago
Read 2 more answers
In Zoe's class, 4/5 of the students have pets. Of the students who have pets, 1/8 have rodents. What fraction of the students in
Genrish500 [490]
3/8 of he class have animals that are not rodents
8 0
3 years ago
Help Plss <br>Linear equation is also called​
vladimir2022 [97]

Answer:

degree equation

Step-by-step explanation:

I hope this helped you!

6 0
3 years ago
Read 2 more answers
Can y’all help me with this
jarptica [38.1K]

Answer:

30 in

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • If you are using this figure to prove the isosceles triangle theorem which of the following would be the best strategy
    12·1 answer
  • Which defines a circle? two rays with a common endpoint a piece of a line with two endpoints a piece of a line with one endpoint
    14·2 answers
  • What is the value of x?
    14·1 answer
  • For #1-2, model each expression. Then simplify the expression. Expression Model Simplified 1. 3(2x + 1) 2. 2(3x – 2) In #3-4, si
    11·2 answers
  • What is the value of each digit number of 58
    12·1 answer
  • Explain how to write a linear equation for a line on a graph.
    6·1 answer
  • write an equation in slope intercept form of the line that has the same slope as y=3x-2 and passes through the point (7,25)
    7·1 answer
  • Joe drove 936 miles in 13 hours. At the same rate, how long would it take him to drive 504 miles?
    7·1 answer
  • Solve each equation and match the solution.<br> e +8= 31
    13·1 answer
  • Which of these numbers: 3,4,18,111,123,340,345,456,555 are divisible by 3 but not 9
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!