Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
The answer is 4 because 14-9=5 and 20/5=4
The answer is 17/5. You have to take the whole number, multiply that by the denominator. Then add that number to the numerator to get the new numerator and the denominator stays the same as before (5)
Answer:
<u>5.56 hours</u>
Step-by-step explanation:
Margo read 42 pages in 2.5 hours.
Pete read six fewer pages in the same amount of time.
So, The number of pages that Pete reads = 42 - 6 = 36 pages
So, Pete read 36 pages in 2.5 hours.
let the time needed to read 80 pages x
∴ 36 pages ⇒ 2.5 hours
80 pages ⇒ x hours
∴
Using cross multiplication:
∴
So, The time taken to read 80 pages
= <u>5.56 hours = 5 hours and 33.33 minutes</u>
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