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2 years ago

How many ways can you choose a manager and assistant from 7-person task force? *

1 answer:

5 0

We are interested in selecting 2 people from the 7-person task force.

n = 7
r = 2

nPr = n! / (n-r)!

7!
------
(7-2)!

=
7!
----
5!

7×6×5×4×3×2×1
------------------------
5×4×3×2×1

= 7×6

= 42

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Galina had two boxes with pieces of paper in each. In the first box, each piece of paper had one possible outcome from flipping

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Step-by-step explanation:

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3 years ago

Which graph represents the function f(x)= -2^x - 1

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3 years ago

an egg of a certain kind of insect called a Tachinidae is 0.00002 long. what is this length in scientific notation?

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3 years ago

Read 2 more answers

g If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds

dezoksy [38]

Answer:

The number of ways to select 5 diamonds and 3 clubs is 368,082.

Step-by-step explanation:

In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.

Compute the probability of selecting 5 diamonds and 3 clubs as follows:

The number of ways of selecting 0 cards from 13 hearts is:

${13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1$

The number of ways of selecting 3 cards from 13 clubs is:

${13\choose 3}=\frac{13!}{3!\times(13-3)!} =\frac{13!}{13!\times10!}=286$

The number of ways of selecting 5 cards from 13 diamonds is:

${13\choose 5}=\frac{13!}{5!\times(13-5)!} =\frac{13!}{13!\times8!}=1287$

The number of ways of selecting 0 cards from 13 spades is:

${13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1$

Compute the number of ways to select 5 diamonds and 3 clubs as:

${13\choose0}\times{13\choose3}\times{13\choose5}\times{13\choose0} = 1\times286\times1287\times1=368082$

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.

6 0

2 years ago

Seven tenths of a number plus fourteen is less than forty-nine

zloy xaker [14]

I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50

5 0

3 years ago

How many ways can you choose a manager and assistant from 7-person task force? *​

How many ways can you choose a manager and assistant from 7-person task force? *