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3 years ago

9

Type the formula for the number of combinations of n things taken r at a time. C(n, r) =

2 answers:

PIT_PIT [208]3 years ago

8 0

Answer: $C(n,r)=\frac{n!}{(n-r)!r!}$ where n represents the total number of objects, and r represents the number of objects being selected at a time.

Step-by-step explanation:

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.

The formula for the number of combinations of n things taken r at a time is

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

SOVA2 [1]3 years ago

4 0

Formula: <span><span>
</span> <span> <span>Note: , where nPr is the formula for permutations of n objects taken r at a time.</span> </span> <span> Example: <span>How many different committees of 4 students can be chosen from a group of 15? </span> </span> <span> Answer: <span>There are possible combinations of 4 students from a set of 15.</span> </span> <span> <span> There are 1365 different committees.</span></span></span>

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To find:

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Solution:

We have,

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For n=2, we get

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$b(2)=b(1)\cdot 4$

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For n=3, we get

$b(3)=b(3-1)\cdot 4$

$b(3)=b(2)\cdot 4$

$b(3)=-48\cdot 4$ $[\because b(2)=-48]$

$b(3)=-192$

Therefore, the 3rd term of the sequence is -192.

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Answer:

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Step-by-step explanation:

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