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USPshnik [31]
3 years ago
12

Evaluate expression 6p5

Mathematics
2 answers:
Over [174]3 years ago
7 0
Its like this: (6*5*4*3*2*1)/1 => 720
yaroslaw [1]3 years ago
4 0

Answer:  The required value of the given expression is 720.

Step-by-step explanation:  We are given to evaluate the following expression :

E=^6P_5.

We know that

the formula for the number of permutations of n different things taken r (r is less than or equal to n) at a time is given by

^nP_r=\dfrac{n!}{(n-r)!}.

Therefore, the given expression can be evaluated as follows :

E\\\\=^6P_5\\\\\\=\dfrac{6!}{(6-5)!}\\\\\\=\dfrac{6!}{1!}\\\\\\=\dfrac{6\times5\times4\times3\times2\times1}{1}\\\\=720.

Thus, the required value of the given expression is 720.

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