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Grade 11Algebra

In how many ways 5 girls and five boys can be arranged if no two girl sit together

Profile image of ajaylakshya
9 Years agoGrade 11
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1 Answer

Profile image of Nandana
9 Years ago
 
 
it is like this
  there are 5 boys & 5 girls , then no two girls come together in this way –
            G B G B G B G B G B  or
            B G B G B G B G B G
 so , for the 1st way they can arrange in 5! × 5! ways &
        for the 2nd  way also 5! × 5! ways , so totally
           2 (5! × 5!) ways
         i.e. 28800 ways