YANCEY COLLECTS PLASTIC BANKS. HE HAS THREE DIFFERENT BANKS;A PIG,A COW, AND A HORSE. HOW MANY WAYS CAN YANCEY ARRANGE HIS BANKS ON A SHELF
what is 3x2x1 ?
9 wways
To find the number of ways Yancey can arrange his banks on the shelf, we need to determine the total number of permutations. Since he has three different banks (a pig, a cow, and a horse), there are three available slots on the shelf.
To calculate the number of permutations, we can use the formula for permutations of n objects taken r at a time:
P(n, r) = n! / (n - r)!
In this case, n is the total number of items (3 banks), and r is the number of slots (3 slots).
P(3, 3) = 3! / (3 - 3)!
= 3! / 0!
= 3! / 1
= 3
Therefore, there are 3 ways Yancey can arrange his banks on the shelf. He can have them in the order pig, cow, horse; cow, pig, horse; or horse, pig, cow.