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
Find the surface area of the prism L=13 W=7 H=4
Wewaii [24]

Answer:

342 units squared

Step-by-step explanation:

since this is a rectangular prism, all we have to do is multiply the values by one of the other values once and multiply that by 2

6 0
3 years ago
Solve x2 – 8x + 15 &lt; 0.<br><br> Select the critical points for the inequality shown.
quester [9]

Answer:

x=3,5

Explanation:

x2−8x+15=0

Try to express the terms of the equation in square form.

Adding 16 both sides of the equation,

(x2−2⋅x⋅4+42)+15=16

or,(x−4)2+15−16=0

or,(x−4)2−1=0

or,(x−4)2−12=0

This is the a2−b2=(a+b)(a−b)form.

(x−4+1)(x−4−1)=0

or,(x−3)(x−5)=0

Now, equate both the terms to zero since both of them when multiplied, give zero.

Either,

x−3=0

∴x=3

Or,

x−5=0

∴x=5

Ans:x=3,5 Hope this helpsXD...!!

4 0
2 years ago
Read 2 more answers
Add or subtract <br> 4-2 3/7
sergeinik [125]

Answer:

subtract

Step-by-step explanation:

6 0
2 years ago
What is 89.99 divided by 30%
kirill115 [55]

Answer:

if you are dividing 299.96 If you are multiplying 26.99

Step-by-step explanation:

If you are dividing: Factor the numerator and denominator and cancel the common factors.

If you are multiplying: Simplify the expression.

6 0
3 years ago
Read 2 more answers
Can anyone help me with this problem?
Katen [24]
A because -2 -3 -4 ext are less than -1
6 0
3 years ago
Other questions:
  • 5. Two angles are supplements if their sum is 180 degrees. The measurement of one angle is five more than six times its suppleme
    6·1 answer
  • Find the missing number 2 ?/4 = 11/4 ?/10 =4/5
    14·1 answer
  • Where is the graph of f(x)=4[x-3]+2 discontinuous?
    7·2 answers
  • Please answer this correctly
    7·1 answer
  • Which of the following is the equation for a line parallel to y=2x−5 and having a y-intercept of −3? Select one: a. y=−3x−5 b.y=
    12·1 answer
  • A book store bought 160 copies of a book from the publisher for 4,000. If the store gives away 2 books, how much money will it l
    11·1 answer
  • I need the answer can someone please help me!!
    12·1 answer
  • During migration, a hummingbird can fly 210 miles in 7 hours, and a goose can fly 165 miles in 3 hours. Which bird flies at a fa
    14·2 answers
  • Long division method​
    8·1 answer
  • Lakeridge health oshawa is a 423 beds hospital with 463 doctors and 4058 staff comprised of nurses and technologists. it is plan
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!