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deff fn [24]
3 years ago
8

A certain mathematics contest has a peculiar way of giving prizes. Five people are named as Grand Prize winners, but their finis

hing order is not listed. Then from among the other entrants, a 6thplace, 7thplace, 8thplace, 9thplace, and 10thplace winner are each named.If 22 people enter this year, how many complete award announcements are possible?
Mathematics
1 answer:
bixtya [17]3 years ago
6 0

Answer:

The number of complete award announcements possible are 19,554,575,040.

Step-by-step explanation:

Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.

Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.

The number of people entering this year is 22.

The number of ways to select 5 people for Grand Prize is, {22\choose 5}=\frac{22!}{5!(22-5)!} =26334.

The remaining number of people is, 22 - 5 = 17.

It is provided that the other 5 are selected according to an order.

The number of ways to select other 5 winners is,

^{17}P_{5}=\frac{17!}{(17-5)!} =742560

The total number of ways to select 10 winners of 22 is:

Total number of ways = 26334 × 742560 = 19,554,575,040.

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Decomponha os seguintes números a) 1.585 = b) 1.059= c) 2.440 d) 5.329 e) 8.801 f) 9.999 g) 3.718 h) 6.840 i) 7.504 j) 5.225 1)
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Answer:

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

Step-by-step explanation:

A medida que nos alejamos del punto decimal, el número de ceros aumenta y el dígito se mueve hacia la derecha.

Los valores después del decimal se denominan décimas, centésimas y milésimas.

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

The values after the decimal are called tenths hundredths and thousandths

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