Help plz:))) I’ll mark u brainliest <br> ASAP!!!

From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar

murzikaleks [220]

Answer:

(a) 896

(b) 1000

(c) 910

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

(a) 2 of the men refuse to serve together.

Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

$^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}$

$896$

(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

$^{6}C_{3}\cdot ^{6}C_{3}+^{6}C_{3}\cdot ^{6}C_{2}\cdot ^{2}C_{1}$

$1000$

(c)1 man and 1 woman refuse to serve together.

Ways = Total ways - Both man and woman are select who refuse the serve together

$^{8}C_{3}\cdot ^{6}C_{3}-^{5}C_{2}\cdot ^{7}C_{2}$

$910$

6 0

4 years ago

Which function should be used when evaluating the function at x = -1?

scZoUnD [109]

<h2>WE WILL SOLVE THIS EQUATION USING PEMDAS.</h2>

<h3>PARENTHESES, EXPONENTS, MULTIPLICATION, ADDITION, AND SUBTRACTION.</h3>

6 0

3 years ago

Oel is laying pipe for a sprinkler system before he plants his lawn. the lawn is a rectangle, 15 feet long and 8 feet wide. he n

antoniya [11.8K]

The Pythagorean theorem tells you that length is
.. √(15^2 +8^2) = 17 . . . feet

4 0

3 years ago

HELPPPPPPPPP Please

svp [43]

Answer:

x= 27/2

Step-by-step explanation:

6 0

3 years ago

Braydon is performing the four arithmetic operations on 14 and 2.

Studentka2010 [4]

Well, let's just solve all these darn operations!

<em>14 + 2 = 16
</em><em>14 - 2 = 12
</em><em>14 * 2 = 28
</em><em>14 / 2 = 7
</em>
<em />So, what do you think the answer is? =)

7 0

3 years ago

Help plz:))) I’ll mark u brainliest ASAP!!!