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

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Answer:

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

Answer:

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.