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
Luda [366]
3 years ago
14

Will mark the Brainliest !!!!! A team of 5 boys and 4 girls will be chosen from a group of 16 boys and 13 girls,

Mathematics
1 answer:
vfiekz [6]3 years ago
5 0

Answer:

Step-by-step explanation:

The total number of permutations of boys and girls on the team are:

¹⁶P₅*¹³P₄

1.

Bob will be one of the fixed boys to be picked. Hence, actually 4 boys are to be picked from 15. The permutations of girls being picked remains the same.

Probability = Permutations with Bob as one of the boys / Total permutations

Probability = (¹⁵P₄*¹³P₄) / (¹⁶P₅*¹³P₄) = ¹⁵P₄ / ¹⁶P₅

Probability = \frac{15!}{(15-4)!}/\frac{16!}{(16-5)!} = 15! / 16! = 1/16

2.

Now, Bob is one of the fixed boys and Jane is one of the fixed girls. Hence, actually 4 boys are to be picked from 15 and 3 girls are to be picked from 12.

Probability = Permutations with bob as one of the boys and jane as one of the girls / Total permutations

Probability = (¹⁵P₄*¹²P₃) / (¹⁶P₅*¹³P₄) = (1/16)*(1/13) = 1/208

3.

Now, the probability that at least Jane or Bob will be picked has been asked. This probability is a combination of three probabilities:

Probability = (Probability that only Bob will be picked) + (Probability that only Jane will be picked) + (Probability that both will be picked)

Probability = 1/16 + 1/13 + 1/208 = 0.123

4.

Total teams possible = ¹⁶P₅*¹³P₄ = 8994585600 teams are possible

You might be interested in
What does x equal (x/4)+12=38
user100 [1]
\frac{x}{4} +12=38\\\\ \frac{x}{4}=26\\\\x=104
8 0
3 years ago
Read 2 more answers
Please help I don’t understand
madam [21]
I don’t get it either
3 0
2 years ago
Calculate<br> 21% of $6.85 = $
choli [55]

Answer: $1.44

Step-by-step explanation: hope this helps please give me brainliest.

6 0
3 years ago
What is y+1=5/6(x-2) in standard form?
vfiekz [6]
The standard form is 5x-6y=16
3 0
2 years ago
Which could be the function graphed below? ​
iren [92.7K]

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  f(x)=\sqrt{x}-2

5 0
3 years ago
Read 2 more answers
Other questions:
  • If a snail crawls 12 centimeters per hour, how long will it take for the snail to travel 1 meter?
    14·2 answers
  • Does anybody know this I need them all answered thank you so much
    6·2 answers
  • Help anyone ?????????
    9·2 answers
  • Find missing size if side of right angled triangle
    5·1 answer
  • What is 105 in the ratio 8:7
    9·1 answer
  • Which athletes, if any, would qualify for the finals if the length of a jump that qualifies for the finals were at least 20 feet
    5·1 answer
  • 55 quarters + 88 pennies + $0.28 + 33 dimes =
    13·1 answer
  • How much cm³ is it the cilinder?
    8·2 answers
  • How do I answer this question pls help me
    5·1 answer
  • Match the information on the left with the appropriate equation on the right.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!