In how many ways can 3 girls and 5 boys be arranged in a row so that all the 3 girks are together
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Let take that 3 together girls as 1 group or 1 porsen
so , total persons are 1 girl group (1 person) + 5 boys = 6
so , we can arrange 6 persons in 6p6 = 6! = 720 ways
so , in 720 ways 3 girls arranged ways in 3p3 = 3! = 6 ways
means like { (B1B2B3) ,(B2B3B1),(B3B1B2),(B1B3B2),(B2B1B3),(B3B2B1) }
so the total ways are
= m × n
= 720 × 6
= 4320 ways
4320 ways can 3 girls and 5 boys be arranged in a row so that all the 3 girks are together
so , total persons are 1 girl group (1 person) + 5 boys = 6
so , we can arrange 6 persons in 6p6 = 6! = 720 ways
so , in 720 ways 3 girls arranged ways in 3p3 = 3! = 6 ways
means like { (B1B2B3) ,(B2B3B1),(B3B1B2),(B1B3B2),(B2B1B3),(B3B2B1) }
so the total ways are
= m × n
= 720 × 6
= 4320 ways
4320 ways can 3 girls and 5 boys be arranged in a row so that all the 3 girks are together
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