Mathematics: How many combinations exist for the letters m, n, o, p, and q taken 3 at a time?

How many combinations exist for the letters m,

voicelesstoxic

31.12.2021

The required number of combinations is 10.

Step-by-step explanation: We are given to find the number of combinations that exists for the letters m, n, o, p, and q taken 3 at a time.

We know that

the formula for the combination of s objects taken r at a time is given by

$^sC_r=\dfrac{s!}{r!(s-r)!}.$

For the given combination, we have 5 letters and we are to take 3 at a time.

So, s = 5 and r = 3.

Therefore, the required number of combinations is

$^5C_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!2!}=\dfrac{5\times4\times3!}{3!\times2\times1}=10.$

Thus, the required number of combinations is 10.

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klu65

27.01.2023

(0,-4)

Step-by-step explanation:

4x-2y=8

y=-4-3x

4x-2(-4-3x)=8

x=0

y=-4-3x0

y=-4

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