Question

In how many ways can seven similar gifts be distributed to 7 clients of a company

Answer 1

Answer:

28 ways

Step-by-step explanation:

first gift in 7 ways to 7 children

second gift in 6 ways to 6 remaining children

third gift in 5 ways.

So on.

So answer is 7+6+5+4+3+2+1

Answer 2

Answer:  5040

Step-by-step explanation:

The number of permutations of n things taking r things at a time is given by :-

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

Given : Number of clients = 7

Number of similar gifts =7

Then by using permutations, the number of ways to distribute 7 gifts to 7 clients is given by:_

$^7P_7=\dfrac{7!}{(7-7)!}\\\\=7!=7\times6\times5\times4\times3\times2\times1=5040$

Hence, the number of ways to distribute 7 gifts to 7 clients = 5040