2 years ago

How many different strings can be made from the letters in aardvark, using all the letters, if all three as must be consecutive?

1 answer:

7 0

AARDVARK has 3 A's, 2 R's, 1 D, 1 V, and 1 K. If all three A's have to be together, then treat them as one letter. So there are a total of 6 "letters" to arrange. There would be 6! ways to arrange them if the "letters" were all different, but you have to keep in mind that there are 2 R's which are the same, so you need to divide out the number of ways to arrange the R's if they were different, which is 2!.

<span>So, in total, there are 6!/2! = 360 ways to arrange the letters in AARDVARK if all three A's must be consecutive.</span>

You might be interested in

A sewing club is making a quilt consisting of 25 squares with each side of the square measuring 30 centimeters. If the quilt has

Sedbober [7]

First, you must find an equation. You would first find the length of 1 square, and then multiply it by how many rows. Then on the side, you would find the width on one square, and then multiply it by how many columns. Once you find you total length and width, find the perimeter of the whole quilt! Let me know if there is any questions! <span />

5 0

2 years ago

If a random variable X is exponentially distributed with parameter λ=2, then P(X≥1) is equal to

Rasek [7]

Answer:

D. 0.1353

B. 0.0473

Step-by-step explanation:

For an exponentially distributed random variable, the cumulative distribution function is:

$P(x\leq a) = 1 - e^{-\lambda a}\\P(x\geq a) = e^{-\lambda a}$