Q57 / 160 · AP EAMCET 2023 (17 May Shift 2) · Mathematics

The number of arrangements of the word KANGAROO in which As' do not appear together is

  • A
    2520
  • Correct answer
    B
    3780
  • C
    7650
  • D
    7560

Solution

Total no. of arrangements $=\frac{8 !}{2 ! 2 !}$ No. of arrangements, when A's are together $=\frac{7 !}{2 !}$ So, the number of required arrangement $=\frac{8 !}{2 ! 2 !}=\frac{7 !}{2 !}=7560$

Hence, the correct answer is option: 'B'.

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