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Find the total no. of ways of selecting five letters of the word INDEPENDENT .

Find the total no. of ways of selecting five letters of the word INDEPENDENT .

Grade:11

2 Answers

shubham sharma
27 Points
9 years ago

Ans. is 72!!

All letters are nt same so

There are 5 cases

• of form(abcde) all distinct = 6 ways

• of form (aaabb)= 4 ways

•of form( aaabc)= 5c2 +5c2= 20 ways

•of form (aabcd)= 3.5c3 = 30ways

•of form (aabbc) =3.4c1= 12ways

Adding these 72!!!

vamsi
43 Points
9 years ago

in given word 11 letters are present.in all of them 3-N,2-D,2-E are present.

so required answer is =(11!)÷(3!×2!×2!)

=1663200

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