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Chapter 13: Q. 9. (page 869)

How many distinct $8$ -letter words (real or imaginary) can be formed from the letters in the word REDEEMED?

Short Answer

Expert verified

The final answer is $840 .$

Step by step solution

01

Step 1. Given information.

The word REDEEMED is given.

02

Step 2. Calculation.

Here REDEEMED is given.

It has to find distinct $8$ letters words.

R appears $1$ times,

E appears $4$ times,

D appears $2$ times,

M appears $1$ times,

Thus,

$1 + 4 + 2 + 1 = 8 = \frac{8!}{1! 4! 1! 2!} = \frac{8 * 7 * 6 * 5 * 4!}{4! * 2 * 1} = \frac{8 * 7 * 6 * 5}{2} = 840 .$

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Most popular questions from this chapter

Find the value of each permutation.

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