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
Tpy6a [65]
4 years ago
9

A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 7 sophomores, 8 jun

iors, and 9 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
Mathematics
1 answer:
AveGali [126]4 years ago
6 0

Answer:

3087000

Step-by-step explanation:

(5\choose 2) we use for how many combination we have when we choose 2 freshmen from set of 5 freshmen.

(7\choose 3) for 3 sophomers of 7 sophomores itc...

The number of all combination is:

({5\choose 2})({7\choose 3})({8\choose 4})({9\choose 5})=10*35*70*126=3087000

You might be interested in
Solve (x + 2 < 5) ∩ (x - 7 > -6).
mihalych1998 [28]

Answer:

<h2>1. {x | 1 < x < 3}</h2>

Step-by-step explanation:

x + 2 < 5           <em>subtract 2 from both sides</em>

x + 2 - 2 < 5 - 2

x < 3

x - 7 > -6        <em>add 7 to both sides</em>

x > 1

From x < 3 and x > 1 we have 1 < x < 3

7 0
3 years ago
Do the functions have the same concavity? f(x)=2x^2-10x-30
love history [14]

Answer:

Use the inflection points to set up intervals. Substitute a value into each interval to find where the curve is concave up or down.

The graph is concave up

5 0
3 years ago
Read 2 more answers
The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?
earnstyle [38]
Assume the bigger number is x, since the difference is 18, another one should be x - 18

So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81

Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81
6 0
3 years ago
Simplify the expression using positive exponents. <br><br> 5^9 ⋅ 5^3
uranmaximum [27]
5^12 is the answer for this question
7 0
3 years ago
Read 2 more answers
Slope of (10,-61,) and (-7,58)
Olenka [21]

answer/Step-by-step explanation:

m=y-y/x-x

m=58-(-61)/-7-10

m=119/-17

m=-7

4 0
3 years ago
Other questions:
  • Help!!<br><br>Will give brainliest!<br><br>Plz explain how to do this if possible.
    5·2 answers
  • What is he median, for the same numbers
    9·1 answer
  • Factor the polynomial:81m+48mn
    9·1 answer
  • List all of the number sets that contain the number SQUARE ROOT OF 5
    10·1 answer
  • Use​ Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. Contour integral Subscript Up
    6·1 answer
  • Write the sum and the expression in standard form. <br><br><br><br> − − 11 and the opposite of −11
    7·1 answer
  • a line has a slope of -2. one of the points on the line is (7,-4) . which of the following could be another point on the line? A
    14·1 answer
  • A pet store employee measures the lengths of two pet snakes, Noodles and Squiggles. Noodles measures 30 inches long, and Squiggl
    10·1 answer
  • Pleeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaase help
    10·1 answer
  • Which statement is true?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!