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Jane has 8 toy cats and 4 baskets. If she wants to arrange 2 toy cats in each basket, how many different ways can she arrange the toy cats?

Sagot :

ouff2003

Step-by-step explanation:

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

The number of combinations of n objects taken r at a time is determined by the following formula:.

nCr = n! / (n-r)! r!

n = total number of objects in the set

r = number of choosing objects from the set

so here , Jane has 8 toys and first she wants to take 2 toys ....

so , 8C2 = 8! / 6! 2! = 28 ways

so , she selected 2 toys ,,, After she wants to take 2 toys among 6 toys ....

so , 6C2 = 6! / 4! 2! = 15

next , picking 2 toys out of 4

So , 4C2 = 4! / 2! 2! = 6

next , 2C2 = 2! / 0! 2! = 1

total ways to pick toys = 28 × 15 × 6 × 1

= 2520 different ways ..

request :- Sorry if there are some mistakes in my English.

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