AP EAMCET · Maths · Permutation Combination
In how many ways can the letters of the word "ASSASSINATION" can be arranged so that all S's are together?
- A 10 !
- B \(\frac{10 !}{3 ! 2 ! 2 !}\)
- C \(\frac{9 !}{3 ! 2 ! 2 !}\)
- D 9 !
Answer & Solution
Correct Answer
(B) \(\frac{10 !}{3 ! 2 ! 2 !}\)
Step-by-step Solution
Detailed explanation
There are total 13 letters in the word "ASSASSINATION" \[ 3 \text { A's, } 4 \text { S's, } 2 \text { I's, } 2 \text { N's, } 1 \text { T's, } 1 \text { O's } \] Let all \(S^{\prime}\) be represented by a single letter Z New word is AAINAIONZ. \(\therefore\) Total number of ways…
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