Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Show that the number of six letter words that can be formed us

Question

Show that the number of six letter words that can be formed using the letters of the word "assist" in which $s^{'} s$ alternate with other letters is 12.

Views: 666 students

Found 6 tutors discussing this question

William Discussed

Show that the number of six letter words that can be formed using the letters of the word "assist" in which

s^{'} s

alternate with other letters is 12.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

The three letters

a \times i \times t \times

can be arranged in

3! = 6

ways. If the word is to start with any of three letters

a

, n

i

t

then we have three places marked by

\times

in which three alikes

s

can be arranged in

\frac{3 !}{3 !} = 1

way. Thus

6 \times 1 = 6

ways
If they are to begin with

s

then

\times a \times i \times t

and as above we have again

6 \times 1 = 6

ways

∴

Total

= 6 + 6 = 12

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Show that the number of six letter words that can be formed using the letters of the word "assist" in which $s^{'} s$ alternate with other letters is 12.
Answer Type	Text solution:1
Upvotes	150