There are 4+6=10 people in the team.
First calculate in how many ways you can choose 3 people from a group of 10 people, using combination:

You can choose 3 people in 120 ways.
You can select 1 girl from a group of 4 girls in 4 ways.
Calculate in how many ways you can choose 2 boys from a group of 6 boys:

You can choose 2 boys in 15 ways.
Using the rule of product, you can calculate that you can choose 1 girl and 2 boys in 4×15=60 ways.
The probability of choosing 1 girl and 2 boys is the number of ways you can choose 1 girl and 2 boys divided by the number of ways you can choose 3 people from the group.

The probability is 1/2, or 50%.
Answer:

Step-by-step explanation:
Odd numbers from the list are 75, 189, and 315.
75, 189, and 315, are composite numbers.
Prime factorization of 75 = 3 × 5 × 5
Prime factorization of 189 = 3 × 3 × 3 × 7
Prime factorization of 315 = 3 × 3 × 5 × 7
315 is an odd number, and a composite number that is divisible by 3 different prime numbers.
Answer:
There are 8008 possible outcomes are there the first time he grabs 6 chocolates
Step-by-step explanation:
The order in which the chocolates are chosen is not important. So the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many possible outcomes are there the first time he grabs 6 chocolates?
6 chocolates from a set of 16. So

There are 8008 possible outcomes are there the first time he grabs 6 chocolates
The correct answer is

In fact, this is a trinomial of the form

, whose solutions are given by

Using this formula for the trinomial of the problem, we find:

<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
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Answer:
1000 m³
Step-by-step explanation:
Put the number into the formula and do the arithmetic.
v = a^(3/2) = (100 m²)^(3/2) = (√100)³ m³ = 1000 m³
The volume is 1000 cubic meters.