Mathematics: 9/6 = x/10 Solve proportional!

9/6 = x/10 Solve proportional! - id961011614821, afitzgerald

Ary10113

22.05.2022

604800

Step-by-step explanation:

Given : The ten students in a club are lined up in a row for a group photograph.

To Find: How many different arrangements are possible if the club includes one set of identical triplets wearing matching clothes?

Solution:

The club includes one set of identical triplets wearing matching clothes

So, the remaining students = 10-3 = 7

Now there is an arrangement between these seven students.

Since order has to be maintained .So, we will use permutation

Formula : $^nP_r=\frac{n!}{(n-r)!}$

So, $^{10}P_7=\frac{10!}{(10-7)!}$

$^{10}P_7=\frac{10!}{(3)!}$

$^{10}P_7= 604800$

Hence there are 604800 possible arrangements if the club includes one set of identical triplets wearing matching clothes

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