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  • The number of ways of arranging 20 boys so that 3 particular boys are separated isOption: 1 <img alt="9(16 !)" src="https://entrancecorner.oncodecogs

The number of ways of arranging 20 boys so that 3 particular boys are separated is

Option: 1

9(16 !)


Option: 2

15(16 !)


Option: 3

15(17 !) / 2


Option: 4

 none of these


Answers (1)

best_answer

We can arrange remaining 17 boys in 17 ! ways. For 3 particular boys we have 18 positions. We can arrange 3 particulars boys at these places in { }^{18} P_{3} ways.

Thus, the required number of ways

\mathrm{=(17 !)\left({ }^{18} P_{3}\right)=17 ! \frac{18 !}{15 !}}

Posted by

Riya

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