Hurry up <br> for 10 points

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

4 years ago

6x+3y=13 find the value <br><br>

BartSMP [9]

6x+3y=13

6x+3y-13=13--13

6x+3y-13=0

4 0

3 years ago

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

wlad13 [49]

We have to find the correct statement for angle A in a triangle ABC, which is an obtuse triangle. We know that angle B is obtuse ( greater than 90 degrees ). Therefore angles A and C must be less than 90 degrees. Angle A can not be congruent to angle B ( angle B > angle A ). It can be congruent to angle C but just in case that ABC is an isosceles obtuse triangle. Answer: Angle A must be A ) less than 90 degrees.

6 0

4 years ago

Read 2 more answers

Anthony read 1/3 of a book every day for twelve days. How many books did he read altogether?

Anettt [7]

Answer:

Step-by-step explanation:

3/36

6 0

3 years ago

Write all the three digit numbers that have a 3 in the tens place and a 5 in the ones place

Basile [38]