Question

In how many ways can you arrange the dining table with 3 sweets and 4 fruit bowls in a line

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

Answer:  144

Step-by-step explanation:

Given : Number of sweets =3

Number of fruits = 4

The number of ways to arrange n things in a line is given by  :-

$n!=n\timesn-1\timesn-2\times......\times3\times2\times1$

The number of ways can you arrange the dining table with 3 sweets and 4 fruit bowls in a line will be :_

$3!\times4!=3\times2\times1\times4\times3\times2\times1\\\\=144$

Hence, the number of ways can you arrange the dining table with 3 sweets and 4 fruit bowls in a line=144