Question

In how many ways can seven similar gifts be distributed to 7 clients of a company, such that each gets one gift?​

Answer 1

refer to above attachment

Answer 2

Answer:

= 5040

Step-by-step explanation:

Given that , there are seven clients and 7 gifts has be distributed among them such that each gets one gift.

To find in how many ways 7 gifts can be distributed to 7 clients.

So,

As per question ,

the total number of the gifts = 7

and the total number of clients = 7

By using the formula of permutation without repetition,

P(n,r) = $\frac{n!}{(n-r)!}$

        = $\frac{7!}{(7-7)!}$

        = $\frac{7!}{1!}$

        = $\frac{7*6*5*4*3*2*1}{1}$

        = 5040

Therefore, the number of way in which the 7 gift can be distribute in 7 clients = 5040.

THANKS.

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