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2 years ago

Choose the correct definition of (n/k) from below

Mathematics

2 answers:

Citrus2011 [14]2 years ago

8 0

Answer:C. $\frac{n!}{k!(n-k)!}$

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

$C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}$

Hence, C is the right option.

gizmo_the_mogwai [7]2 years ago

3 0

Answer C is correct.

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A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the students, Sandra,

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Answer:

What is P(A), the probability that the first student is a girl? (3/4)

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2 years ago

James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there

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Answer:

32 one-dollar bills.

Step-by-step explanation:

Let x represent one-dollar bills and y represent two-dollar bills.

He has a total of 49 bills. Therefore:

$x+y=49$

The total amount of money James has is 66. x is worth one dollar, while y is worth two dollars. Therefore:

$1x+2y=66\\x+2y=66$

We have a system of equations. Solve by substitution:

$x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32$

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

$32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49$

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2 years ago

The letters of the word STAR are written on individual cards. If you always choose three cards and then put them back before the

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Answer:

Step-by-step explanation:

There are 4 possibilities for the first card.

After that, there are 3 possibilities for the second card.

Finally, there are 2 possibilities for the third card.

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ARS

ART

ASR

AST

ATR

ATS

RAS

RAT

RSA

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RTS

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SAT

SRA

SRT

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TRA

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2 years ago