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NikAS [45]
2 years ago
8

How many ways can we award a 1st, 2nd and 3rd place prize among eight contestants?

Mathematics
1 answer:
trasher [3.6K]2 years ago
6 0

Answer:

Total number of ways are 336.

Step-by-step explanation:

It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find ^8P_3.

Here, r = 3

So,

^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336

So, there are 336 ways.

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3. Evaluate a + b for a = -46 and b= 34.<br> A:-12<br> B:80<br> C:-80<br> D:12
blsea [12.9K]

Answer:

<h2>A: -12</h2>

Step-by-step explanation:

Put the values of a = -46 and b = 34 to the expression a + b:

-46 + 34        <em>use the commutative property a + b = b + a</em>

= 34 + (-46) = 34 - 46 = -12

4 0
3 years ago
The two spinners below are spun. Find the probability of spinning a 4 and a C.
r-ruslan [8.4K]

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 7, 8 }

n ( S ) = 8

Let A be the event of getting 4,

A = { 4 }

n ( A ) = 1

P ( A )

= n ( A ) / n ( S )

= 1 / 8

Therefore, the probability of spinning a 4 is 1 / 8.

S = { A, B, A, C, A, B }

n ( S ) = 6

Let Y be the event of getting C,

Y = { C }

n ( Y ) = 1

P ( Y )

= n ( Y ) / n ( S )

= 1 / 6

Therefore, the probability of spinning a C is 1 / 6.

3 0
3 years ago
Looking for the 2 correct answers please
Fynjy0 [20]

Answer:

  • ROQ
  • QOP

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, and vice versa.

  sin ∠QOP = cos ∠ROQ

  cos ∠ROQ = sin ∠QOP

8 0
2 years ago
Divide 6 feet 6 inches by 5
tigry1 [53]
6 ft 6 in....
1 ft = 12 inches, so 6 ft = (12 * 6) = 72 inches...+ the other 6 inches = 78 inches

78 / 5 = 15.6 inches


5 0
3 years ago
Caroline's soccer practice starts at a quarter after 4 P.M. And ends at 5 P.M. How many minutes does her soccer practice last?
HACTEHA [7]

Caroline's soccer practice starts at a quarter after 4 P.M. And ends at 5 P.M. How many minutes does her soccer practice last?

Answer:

A quarter after 4 P.M is 4:15

So soccer practice lasts 45 minutes.

Hope that helps and good luck

~May

3 0
2 years ago
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