Professor Grinch’s telephone number is 6328363. Mickey remembers the collection of digits but not their order, except that he knows the first 6 is before thefirst3.How many arrangements of these digits with this constraint are there?

There are 168 arrangements are there as per the conditions

Step-by-step explanation:

Given Number: 6328363

We will use permutation formula which is P = n!/(n-r)!

n represents number of objects taken r at a time

Replace 6s and 3s with Xs:

XXX8XX2

We have ways to get the above number,

Now, at first, replace first X with 6 which is always before 3, we get  

6XX8XX2 It means, we only one way of doing this, so this is the only arrangement where we get 6 at first place

Finally we are left with 4 numbers (X's), the arrangements for these 4 numbers are  

Now the Total Arrangements are

 * 1 * = 42*4 = 168

add an image, and i will answer

step-by-step explanation: