There are 5 boys and 3 girls seated in a row for a photograph. The number of ways in which a photograph can be taken if the girls occupy only odd places is...

Step-by-step solution

Total number of persons is 5 + 3 = 8 . The seats are numbered 1, 2, 3, 4, 5, 6, 7, 8 . The odd places are 1, 3, 5, 7 . There are 4 odd places. The 3 girls can be seated in these 4 odd places in ⁴P₃ ways. ⁴P₃ = 24 After seating the girls, there are 5 seats remaining ( 1 odd and 4 even places). The 5 boys can be seated in the remaining 5 places in 5! ways. 5! = 120 Total number of ways = 24 120 = 2880 . Answer: 2880