Y'all help me out a sec please!

1 answer:

3 0

If You consider a mixed number to have an integer and a fraction part, that mixed number is always located between the integer and the next greater consecutive integer

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How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?

nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = $\frac{10!}{2!2!2!}$

Number of words = $\frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}$

Number of words = $\frac{3628800}{8}$

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0

3 years ago

Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer

8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, Probability of any event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$