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
Softa [21]
3 years ago
8

10. Seven equally qualified students apply for a scholarship, but only 5 scholarships of equal value can be given:

Mathematics
1 answer:
jeka943 years ago
8 0

Answer:

(a) 21

(b)2520

Step-by-step explanation:

(a)

Using combination formula, nCr where n is the total sample and r is the limitation hence 7 combination 5.

[tex}7C5=\frac {7*6*5*4*3}{5*4*3*2*1}=\frac {2520}{120}=21[/tex]

(b)

If the scholarships are not equal

The number of ways to select the 5 students from 7  we use permutation formula hence

7P5 = 7*6*5*4*3 = 2520

You might be interested in
Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a k
bixtya [17]

Answer:

4/663

Step-by-step explanation:

There are four queens.  The probability that the first card is a queen is 4/52.

There are four kings.  There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.

Therefore, the probability that the first card is a queen AND the second card is a king is:

P = 4/52 × 4/51

P = 4/663

3 0
3 years ago
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5
Sauron [17]
Since there is no graph presented, I will give an example. For instance you are given, 2n is greater than 30 and 5n is less than 100 and you are asked to find the value of n. This is an example of an inequality problem. You are given 2n is greater than 30 and 5n is less than 100. You are asked to find for the value of n. You need to know that greater means this sign ‘>’ and lesser means ‘<’ sign. So if you have 2n is greater than 30, this is equal to 2n>30 and 5n is less than 100 is 5n<100. The ‘and’ means equal sign ‘=’. So,

2n>30+5n<100

2n-5n

<span> </span>

8 0
3 years ago
Carlos is driving on a straight section of highway from Ashford to Lincoln. Ashford is at mile marker 333 and Lincoln is at mile
Arte-miy333 [17]

Distance between the two cities:

453 - 333 = 120 miles.

Rest area is 2/3 of the way:

120 x 2/3 = 240/3 = 80 miles.

Divide the miles to the rest stop by his speed:

80 miles/ 60 miles per hour = 1 and 1/3 hours as a fraction. 1.3333 as a decimal( round as needed.

( 1 hour and 20 minutes)

3 0
3 years ago
Find The distance between (-3,1) and (-1,6). If necessary,round to the nearest tenth.
kifflom [539]
Use distance formula:-

distance =  sqrt  [ (x2 - x1)^2 + (y2 - y1)^2) ]

let (x1,y1) = (-3,1) and (x2,y2) = (-1,6)   Plug these values in to formula.
8 0
3 years ago
Daren and Josh are pretty good free throw shooters. Daren makes 75% of the free throws he attempts. Josh makes 80% of his free t
snow_lady [41]

Answer:

Djud

Step-by-step explanation:

Ueud

5 0
3 years ago
Other questions:
  • What is the volume of the pyramid?
    13·1 answer
  • State whether the equation is true, false, or an open sentence. 9 = 5 + 4
    12·2 answers
  • What multiple of 10 can be used to remove the decimals and fractions in this equation?
    12·1 answer
  • Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 18
    7·1 answer
  • Help me please with my geometry
    11·1 answer
  • Does anyone know the dilation of 4?
    14·1 answer
  • Please help me and pls do both
    10·1 answer
  • 1 last geometry problem
    11·1 answer
  • What is the slope of the line that passes through the points (8, -4) and (2,6)
    8·1 answer
  • I look like this: __ __ __ . __ __
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!