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2 years ago

Joan wants to make a dinner plan for next week.. How many different arrangements are there for the 7 d a y s ?

Mathematics

1 answer:

4vir4ik [10]2 years ago

3 0

The number of arrangements is an illustration of permutations.

The number of arrangement is 5040

The given parameter is:

$n = 7$ --- number of days

$r = 7$ --dinners for 7 days

So, the number of different arrangement is

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

Substitute known values

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

$^7P_7 = \frac{7!}{0!}$

$^7P_7 = \frac{5040}{1}$

$^7P_7 = 5040$

Hence, the number of arrangement is 5040

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