The genders of pronouns are:
The genders of nouns are:
240
Oh, what a delightful question! To find the total ways a dinner patron can select 3 appetizers out of 6, we use combinations, which is like a recipe for choosing items without regard to the order. So, the dinner patron can choose 3 appetizers out of 6 in 20 ways. Similarly, they can choose 2 vegetables out of 5 in 10 ways. So, the total ways to select 3 appetizers and 2 vegetables is 20 * 10 = 200 ways. Isn't that just lovely?
To select 3 marbles from a jar containing 10 different colored marbles, you can use the combination formula ( C(n, r) = \frac{n!}{r!(n-r)!} ). Here, ( n = 10 ) and ( r = 3 ). Thus, the number of ways to select the marbles is ( C(10, 3) = \frac{10!}{3!(10-3)!} = \frac{10 \times 9 \times 8}{3 \times 2 \times 1} = 120 ). Therefore, there are 120 different ways to select 3 marbles.
We select 1 shirt out of 6 shirts in (6 choose 1) ways or 6 ways. Then, we select 1 out of 3 pairs of shorts in (3 choose 1) or 3 ways. Therefore, the possible combinations of a shirt and a pair of shorts is 6 * 3 = 18 possible combinations.
To select a committee of 3 people from 10, you can use the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ). Here, ( n = 10 ) and ( k = 3 ). This gives ( C(10, 3) = \frac{10!}{3!(10-3)!} = \frac{10 \times 9 \times 8}{3 \times 2 \times 1} = 120 ). Therefore, there are 120 ways to select a committee of 3 people from 10.
You have 50 ways to select the first.For each of those 50, you have 49 ways to select the second.Only 49 ways, because for each of the 50, there are only 49 left to select from.That's 50 x 49 ways to select the first and the second.For each of those 50 x 49 ways, you have 48 ways to select the third.That's 50 x 49 x 48 ways to select the first, second and third.For each of those 50 x 49 x 48 ways, you have 47 ways to select the fourth.That's 50 x 49 x 48 x 47 ways to select the first, second and third and fourth.But if it doesn't matter what order they are selected in, the same four people have been counted multiple times. For example, if people A, B, C and D have been selected, we will have counted A, B, C and D as one way, and D, C, B and A as another, B, D, A and D as another. In fact, there are 4 x 3 x 2 x 1 ways of counting any four people.So if order does not matter, there are (50 x 49 x 48 x 47) / (4 x 3 x 2 x 1) ways.How many ways can 5 finalists be selected from 100 people?
They have 3 boys and 3 girls.
39916800/241920=165 would be the math answer.
There are 22 ways.
2300
few better ways of tell that you're bi than fantasizing about both genders.
If he must answer the last question, he effectively needs to select 6 from 10. This can be done in 10C6 = 10*9*8*7/(4*3*2*1) = 210 ways.