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
Firdavs [7]
3 years ago
9

There are 18 students involved in the class production of Arsenic and Old Lace. a) In how many ways can the teacher cast the pla

y if there are five male roles and seven female roles and the class has nine male and nine female students? b) In how many ways can the teacher cast the play if Jean will play the young female part only if Jovane plays the male lead? c) In how many ways can the teacher cast the play if all the roles could be played by either a male or a female student?
Mathematics
1 answer:
Ksju [112]3 years ago
7 0

a. 9Permutation5 × 9Permutation7

= 2743372800

b. for boys there are 9Combination5 = 126 combos

of which jovane

and in 14 of which 1/5 of 70 he will have the lead

for girls there are 9C7 = 36 combos

in 28 of which 7/9 of 36 jean will figure

there are thus a total of 126×36 combos

and we multiplied them by 5!×7!

to get permutations needed for cases:

- jovane chosen & not given lead & jean chosen : 56×28

- jovane not chosen & jean chosen: 56×28

total such combos = 3136

we have now to multiply by 5!×6×6!

to get permutations with restriction,

For instance(5!×7! - 5!×6×6!) = 86400 less for each such combo

so finally, all we have to do

is to subtract 3136×86400 from ans of qa to give

2743372800 - 270950400

= 2472422400

c. 18Permutation12

= 8892185702400

You might be interested in
If James can swim 10 laps in 23 minutes, what would be his expected time for 15 laps.(show work please)
Delicious77 [7]
10/23=15/m
(15x23)/10
343/10
34.3

so....
10 laps in 23 minutes
=
15 laps in 34.3 minutes


3 0
3 years ago
Read 2 more answers
SOLVE FOR X<br><br> plz this is like the 5th time i ask, plz don’t respond with links
sattari [20]

Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.

The formula is a^2+b^2=c^2

a=5

c=8

b=?

5^2+b^2=8^2

25+b^2=64

b^2=39

b=6.24,

(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )

5 0
3 years ago
The cost, C dollars, of hiring a taxi is given by the formula C=2.00+3/20n, where n is the number of tenths of a mile driven. Wh
Snezhnost [94]

C(n)=2.00+3.20n

If n = 4 miles:

C(4)=2+3.20(4)

C(4)=2+12.80

C(4)=14.80

The cost of the taxi is $14.80.

4 0
3 years ago
27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
djyliett [7]

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

4 0
2 years ago
Y=\sqrt(-x^(2)+2x) . tìm giá trị lớn nhất của hàm số
Jlenok [28]

Answer:

UM hello how are you im njot really gonna answer anywaysss byee

3 0
2 years ago
Other questions:
  • There are 88 marbles in a bin and 25 percent of the marbles are red. How many marbles are red?
    15·1 answer
  • How will the volume of the pyramid change if each side is multiplied by a factor of One-half?
    10·2 answers
  • (-22) × [(-4) + (-5)] = [(-22) × (-4)] + [(-22) × (-5)] (-22) x [(9)] = [(88)] + [(110)] -198 = 198 QUESTION: Verify the followi
    9·2 answers
  • Need help w the circled ones plsssss
    15·2 answers
  • A certain group of test subjects had pulse rates with a mean of 75.2 beats per minute and a standard deviation of 11.2 beats per
    12·1 answer
  • A is what percent of B?<br><br>d)<br><br>A = 8 oz, B = 1.5 lb <br>Plz help need by today
    7·1 answer
  • Find the missing side. Round to the nearest tenth.<br> X<br> 16<br> 20
    14·1 answer
  • -2n + 1.8 = 3.2<br> What value of n makes the equation true?
    8·2 answers
  • The translation of ABCD to A’B’C’D is given by (x+[?],y-[ ])
    13·1 answer
  • Five gallons of lemonade cost $8.00 which is rate of ____ per _____
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!