Math

How do you figure this problem out?

How many different committees can be formed from 5 professors and 15 students if each committee is made up of 2 professors and 10 students?

THANKS!!!!!


The limiting factor is the students. You only have enough for one committee.


There are 5C2 ways to choose professors and 15C10 ways to select the students. Multiply them to get the total ways this can be done.

nCm means n choose m,check your text on how to calculate this.

  1. 👍
  2. 👎
  3. 👁
  1. 5 taken 2=10
    15 taken 10= [15x14x13x12x11]/5!
    so the final answer is: [15x14x13x12x11x10]/5!

    1. 👍
    2. 👎
  2. There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to be formed .find the number of ways in which tish can be done . further in how many of these committees

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. college math

    How many different committees can be formed from 9 teachers and 39 students if the committee consists of 2 teachers and 3 students? In how many ways can the committee of 5 members be selected?

  2. optics

    A thin, double-convex lens has a refractive index of 1.50. The radius of curvature of the front surface is 15 cm and that of the rear surface is 10 cm. See sketch. (a) How far from the lens would an image of the sun be formed? (b)

  3. SS

    the MAIN benefit of the committee system in the Georgia General Assembly is that. A) committees force members of the majority and minority parties to reach compromises. B) committees allow members of paid interest groups to

  4. Finite Math

    A student dance committee is to be formed consisting of 3 boys and 4 girls. If the membership is to be chosen from 7 boys and 6 girls, how many different committees are possible?

  1. Math

    A committee is to consist of 2 members. If there are 12 men and 6 women available to serve on the committee, how many different committees can be formed? a. 153 b. 816 c. 72 d. 136 ***

  2. Physics Gravity

    A projected space station consists of a circular tube that will rotate about its center (like a tubular bicycle tire) as shown in the figure . The circle formed by the tube has a diameter of about 1.1-km g = R w^2 = 9,8 m/s^2 R =

  3. Chem

    Calculate the amount of grams of carbon dioxide formed from 100 g of octane. The molar mass of octane is 114.33 g/mole. The molar mass of carbon dioxide is 44.0095 g/mole/ 2 C8H18 + 25 O2 ---> 16 CO2 + 18 H20 How do I go about

  4. math

    how many different committees can be formed from 6 teachers and 31 students if the committee consists of 4 teachers and 4 students?

  1. chemistry

    No precipitate formed when an aqueous solution of NaCl or Na2SO4 was added to the sample solution. A precipitate formed when the sample solution was made basic with NaOH. Which ion(s) are present in the sample soluiton? [Hg2]2+

  2. Math

    A committee of 5 people is to be formed from a group of 7 women and 4 men. How many possible committees can be formed if: the committee then must chose a president and a vice president, how many ways could these two positions be

  3. algebra 2

    A committee of 3 teachers and 3 students is to be formed to judge a contest. If there are 7 students and 5 teachers to choose from, how many different committees could be formed?

  4. Physics

    A conical pendulum is formed by attaching a 0.200kg ball to a 1.00 m-long string, then allowing the mass to move in a horizontal circle of radius 40.0cm . The figure (Figure 1) shows that the string traces out the surface of a

You can view more similar questions or ask a new question.