7. Pebble Trebble [5 Points]Mark has 5 pebbles and 3 fish tanks. If each fish tank must have at least one pebble, howmany different ways are there for Mark to put the pebbles in tanks if

If each fish tank must have at least one pebble, the many different ways that Mark can put the pebbles in the tanks is:

60.

Step-by-step explanation:

Permutations nPr Calculator

P(n,r)=  n!

(n−r)!  = ?

n (objects) =5

r (sample) =  3

P(n,r)=P(5,3)

=  5! /(5−3)!

= 60

The result shows that Mark can put the 5 pebbles in the 3 fish tanks in 60 different ways, if each fish tank must have at least one pebble.  Using the permutation calculator, the number of ways is calculated to be 60 ways.

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