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
victus00 [196]
3 years ago
14

A certain law firm consists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in

which at least one member of the group is a senior partner?
Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:100

Step-by-step explanation:

There are ten total people:

10C3

10!/(7!×3!) = 120

Note: but that includes all the cases where there are no senior partners

So firstly let figure out the number of cases where there are no senior partners

because there are 6 junior partners

6C3

= 6!/(3!×3!) = 20

120 - 20 = 100 or the number of possible groups where there is at least 1 senior partner.

You might be interested in
I live for walks at a rate of 4 mph she lives 2 miles from the news station how long will it take her to walk home from the news
Tresset [83]

um half hour? because at 4mph youll get 4 miles in an hour so 2 miles, is half the rate which makes it half hour

3 0
4 years ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
2 years ago
Can someone do 4,5,6,and 7 for me
Flauer [41]

Answer:

4.=11   5.=4  6.=17  7.=47    I think

Step-by-step explanation:

an absolute value of a number is never negative so you just make the number positive and go about the equation normally

6 0
3 years ago
Read 2 more answers
Which of the following is the MOST resistant to erosion?
GaryK [48]

Answer:

steel

plastic coating paints

3 0
3 years ago
Ethan and his friends went to a movie on Thursday afternoon. They left at 1:00 P.M. It took 1 hour and 5 minutes to drive to the
Anastasy [175]

Answer:

4:15 p.m.

Step-by-step explanation:

There's something missing in this:

Once it started, the movie lasted for 1 hour and minutes. What time was it when the movie ended?

What is the minutes because thats missing.

Also can I get Brainliest please

6 0
3 years ago
Read 2 more answers
Other questions:
  • In the year 2006, a person bought a new car for $13500. For each consecutive year after that, the value of the car depreciated b
    7·1 answer
  • Ethan has 3 pounds of mixed nuts. How many ounces of mixed nuts does Ethan have?
    7·1 answer
  • jamie volunteers at the pet shelter every 3 days and at the food pantry every 6 days. this month he volunteers at the pet shelte
    9·1 answer
  • Using the technique in the model above, find the missing side in this 30°-60°-90° right triangle.
    8·2 answers
  • Help what's is 16÷ 264
    6·2 answers
  • A hotdog costs $3 and a corndog costs $1.5 . If was collected, write a mathematical sentence to represent this information.
    13·2 answers
  • Need this ASAP thanks
    6·1 answer
  • Tap on image to see it all.....I really need this answer please​
    9·1 answer
  • (WILL GIVE BRAINLIEST)
    10·1 answer
  • Which of the following is not a solution of the equation below (3x(x-1)(x-2)=0
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!