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
vazorg [7]
3 years ago
10

Exercise topic: Permutations and Combinations. A company wants to hire 3 new employees, but there are 8 candidates, 6 of them wh

ich are men and 2 are women. If the selection is random: a) In how many different ways can choose new employees? b) In how many different ways can choose a single male candidate? c) In how many different ways can choose at least one male candidate? with procedures. Help me please..
Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

Answer:

(a) 56 ways

(b) 6 ways

(c) 56 ways

Step-by-step explanation:

Given:

candidates: 6 mail, 1 female

number to hire : 3

a) In how many different ways can choose new employees?

use the combination formula to choose r to hire out of n candidates

C(n,r) = C(8,3) = 8! / (3! (8-3)! ) = 40320 / (120*6) = 56 ways

b) In how many different ways can choose a single male candidate?

6 ways to choose a male, one way to choose two female, so 6*1 = 6 ways

c) In how many different ways can choose at least one male candidate?

To choose at least 1 male candidate, we subtract the ways to choose no male candidates out of 56.

Since there are only two females, there is no way to choose 3 female candidates.

In other words, there are 56-0 = 56 ways (as in part (a) ) to hire 3 employees with at least one male candidate.

You might be interested in
Factor the trinomial below.
Shtirlitz [24]
Option C is your answer. 
8 0
3 years ago
Read 2 more answers
When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
yan [13]

Answer:

50%

Step-by-step explanation:

Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails

8 0
3 years ago
Read 2 more answers
For Emily’s birthday, her father treated her and five friends to a dinner at a restaurant at the mall. Emily and her friends ord
kykrilka [37]

Answer:

58.25

Step-by-step explanation:

C is the total cost of the meal, fifty-eight dollars and twenty-five cents.

First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.

To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.

Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.

Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.

Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.

Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.

Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.

Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.

And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.

Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.

4 0
2 years ago
Read 2 more answers
Study the statements carefully.
Elan Coil [88]

Answer

x = unidentified

Explanation

If 12÷3=4 and 12 = 4×3, that means 6÷0=x and x×0=6.

This isn't possible because any number divided by 0 is unidentified.

7 0
2 years ago
6(5k-8)-20=11(2k-3)+3k
DochEvi [55]
The answer for this question is k=7
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the midpoint of line AB.<br> A(-4,2) B(0,-4)
    15·2 answers
  • A figure lies on a coordinate plane with point B located at (2,-5). The figure is rotated 90 degrees counter-clockwise around a
    12·1 answer
  • Jasper wants to buy a video game that costs $35. He has $10.50, and his weekly allowance is $5. If w represents the number of we
    5·2 answers
  • John is making himself a lunch. He has three different soups to choose from, four kinds of soda, and three different kinds of fr
    11·1 answer
  • Find the values of the variables in the parallelogram. The diagram is not to scale.
    14·1 answer
  • Angela works a basic week of 40 hours and her hourly rate of pay is $12.50. Calculate her weekly wage.
    6·2 answers
  • There are four blue and four green shirts in your closet. What is the probability you grab a blue shirt to wear on Monday?
    9·1 answer
  • 5. To have integrity means that you A. usually tell the truth B. only cheat when it's necessary C. are honest and trustworthy D.
    13·1 answer
  • Find the quotient: 6/2 divided by 3/4.
    10·2 answers
  • How do you get why by itself in this equation? 4x+5y=5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!