   Chapter 14.2, Problem 44E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Making Words A toddler has wooden blocks showing the letters C , E , F , H , N , and R . Find the probability that the child arranges the letters in the indicated order.(a) In the order F R E N C H (b) In alphabetical order

To determine

(a)

To find:

The probability that the child arranges the letters in the order FRENCH.

Explanation

Given:

A toddler has wooden blocks showing the letters C, E, F, H, N, and R.

Formula used:

If E is the event in a sample space S, then the probability of E is

P(E)=n(E)n(S)(1)

Calculation:

There are total six letters which can be arranged in 6! ways. So,

n(S)=6!=720

There is only one possible way to arranges the letters in the order FRENCH

To determine

(b)

To find:

The probability that the child arranges the letters in alphabetical order.

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