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# How to solve a) and b)?

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how to solve these I am perplexed. Thanks in advance.

Jun 19, 2022

#1
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is it 10!*8!*2 = 292,626,432,000

Jun 19, 2022
#2
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a) $$10!$$ ways to arrange the boys and $$8!$$ ways to order the girls. There are also 2 ways to order the groups (10 boys, 8 girls; 8 girls, 10 boys).

This makes for $$8! \times 10! \times 2 = \color{brown}\boxed{292,626,432,000}$$ ways.

b) $$8!$$ ways to order the girls. Now, treat the 8 girls as 1 person. Now, there are $$11!$$ ways to order everything else.

This makes for $$8! \times 11! = \color{brown}\boxed{1,609,445,376,000}$$ ways.

Jun 19, 2022
#3
+1

thanks

Guest Jun 19, 2022