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saveliy_v [14]
2 years ago
5

Sixty people purchase raffle tickets. Three winning tickets are selected at random. If each prize is $3000, in how many differen

t ways can the prizes be awarded?
Mathematics
1 answer:
Alexus [3.1K]2 years ago
5 0

Answer:^{60}C_{3} ways.

Step-by-step explanation:

^{n}C_{k} is the number of ways in which k distinct objects are selected from a pile of n distinct objects.

In our question,there are a total of 60 people.

So,n=60.

Given that three are selected at random.

So,k=3.

So,the answer is ^{60}C_{3} ways.

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What is the solution of the inequality shown<br> below?<br> y-1 &gt; 0
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y>1

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y-1 > 0

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A 12-foot wire supports a tree creating a 48 degreee angle. What is the closest distance up the tree that the wire reaches?
BartSMP [9]

The closest distance up the tree where the wire reaches is 17.93 foot.

<u>Explanation:</u>

Given-

Length of the wire, L = 12 foot

angle, Ф= 48°

Distance upto which the wire reaches the tree, x = ?

We know,

cos Ф = base/ hypotenuse

cos 48° = 12/ x

0.669 = 12/x

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Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.

5 0
3 years ago
In how many orders can six people line up from left to right for a group photo?
slavikrds [6]

Answer:

720 possible orders

Step-by-step explanation:

To order 6 people in a line, let's imagine them as 6 possible spaces:

( )( )( )( )( )( )

Going from left to right, let's start with space 1.

There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.

(6)( )( )( )( )( )

Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:

(6)(5)( )( )( )( )

Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.

(6)(5)(4)(3)(2)(1)

This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.

Multiply them together and we have:

6x5x4x3x2x1 = 720 possible orders.

Hope this helped!

5 0
2 years ago
Read 2 more answers
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