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

(a)

To find:

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

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

(b)

To find:

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