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How many words can be formed from letter of word SCHOOL wherea

Question

How many words can be formed from letter of word $SC H OO L$ whereas both $O^{'} s$ not come together?

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Harper Discussed

How many words can be formed from letter of word

SC H OO L

whereas both

O^{'} s

not come together?

12 mins ago

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12 mins ago

Text solutionVerified

There are total of

6

letters in word

SC H OO L

In it there are 2O's and other letters are different than the number of total permutation

= \frac{6 !}{2 !}

if 2O's take together then it will take as one letter then the number of permutations taking

2 O^{'} s

together

= 5!

hence the number of permutations when 2O's are not together are

= \frac{6 !}{2 !} - 5!

= \frac{6 \times 5 \times 4 \times 3 \times 2 !}{2 !} - 5!

= 6 \times 5 \times 4 \times 3 - 5 \times 4 \times 3 \times 2

= 360 - 120 = 240

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Question Text	How many words can be formed from letter of word $SC H OO L$ whereas both $O^{'} s$ not come together?
Answer Type	Text solution:1
Upvotes	150