-- He must have at least one of each color in the case, so the first 3 of the 5 marbles in the case are blue-green-black.

Now the rest of the collection consists of

4 blue
4 green
      2 black

and there's space for 2 more marbles in the case.

So the question really asks: "In how many ways can 2 marbles
be selected from 4 blue ones, 4 green ones, and 2 black ones ?"

-- Well, there are 10 marbles all together.
So the first one chosen can be any one of the 10,
   and for each of those,
the second one can be any one of the remaining 9 .

Total number of ways to pick 2 out of the 10 = (10 x 9) = 90 ways.

-- BUT ... there are not nearly that many different combinations
to wind up with in the case.

The first of the two picks can be any one of the 3 colors,
   and for each of those,
the second pick can also be any one of the 3 colors.

So there are actually only 9 distinguishable ways (ways that
you can tell apart) to pick the last two marbles.

6 0

2 years ago

How many hundreds equals 400 ones

Kaylis [27]

4 hundreds equal 400 ones

7 0

3 years ago

Read 2 more answers

Please help me out ! I don't understand how to get this

Scilla [17]

The value of angle x is 53° for the given triangle.

<h3>What is angle?</h3>

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

In the given isosceles triangle,

one angle is 74°,

Since, two sides of the isosceles triangle are equal, so the corresponding angles will be equal to x.

The sum of angles of a triangle = 180°

x + x + 74 = 180

2x = 106

x = 53

The required value of angle x is 53°.

To learn more about Angle on:

brainly.com/question/28451077

#SPJ1

6 0

1 year ago

Justine wants to go to the school dance next week, but only if her friend kelly goes. she asks her mom to go, saying she will co

mr Goodwill [35]

Justine only goes when her friend goes [Conditional probability].

Mom going to PROM and Justine going to PROM are separate events. [Independent events].

Mom can't go until she finishes the housework is dependent on events

independent events. [Dependent events]

<h3>What is probability?</h3>

The probability exists in the analysis of the possibilities of happening of a result, which exists acquired by the ratio between favorable cases and possible cases.

Conditional probability directs to the possibility that some outcome happens given that another possibility contains also occurred.

Justine only goes when her friend goes [Conditional probability]

Independent events exist as those possibilities whose occurrence exists not dependent on any other event.

Mom going to PROM and Justine going to PROM are separate events. [Independent events]

Dependent events exist that depend upon what occurred before.

Mom can't go until she finishes the housework is dependent on events

independent events. [Dependent events]

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

3 0

1 year ago