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Mathematics
Number of ways in which the letters of the word SUSURRUS, can be arranged
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Q. Number of ways in which the letters of the word SUSURRUS, can be arranged
Permutations and Combinations
A
8 !
B
$\frac{8 !}{5 ! 3 !}$
C
$\binom{8}{5}$
D
$\binom{8}{3}\binom{5}{3}$
Solution:
$ \text { S's }=3 ; U ^{\prime} s =3 ; R \text { 's }=2 $
$\frac{8 !}{3 ! \cdot 3 ! \cdot 2 !}={ }^8 C _3 \cdot{ }^5 C _3 \Rightarrow( C )$