Answer the attached question ASAP!!!

There are 21 mathematic majors and 129 computer science majors at a college. A) How many ways are there to pick 4 representative

kirza4 [7]

Answer: 1,733,760

Step-by-step explanation:

The number of combinations of selecting m things from n things is given by :-

$^nC_m=\dfrac{n!}{m!(n-m)!}$

Given : There are 21 mathematics majors and 129 computer science majors at a college.

Then, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors :-

$^{21}C_2\times^{129}C_2\\\\=\dfrac{21!}{2!(21-2)!}\times\dfrac{129!}{2!(129-2)!}\\\\=\dfrac{21\times20\times19!}{2\times19!}\times\dfrac{129\times128\times127!}{2\times127!}\\\\=210\times8256= 1733760$

Hence, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors =1,733,760

7 0

3 years ago

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool.

Sergio039 [100]

For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:
$d = \sqrt{3^2 + 3^2}$
Rewriting the expression we have:
$d = \sqrt{2(3^2)}$
$d = 3\sqrt{2}$
$d = 4.2 miles$
Then, the distance that he would have saved if he travels directly is:
$3 + 3 - 4.2 = 1.8 miles
$
Answer:
he would have saved:
1.8 miles

3 0

3 years ago

Read 2 more answers

Please help<br> log(8)10 - log(8) -3x = 1

True [87]

Answer: x=2.375937.... sorry I give you the wrong one but here the steps O here x=2.96423 will it can be any one of the two answer I give you now.

Step-by-step explanation: Hope this help :D