18
30 different ways
In a standard deck of 52 playing cards, the number of different pairs of cards you can be dealt is calculated using combinations. Specifically, you can choose 2 cards from 52, which is represented mathematically as ( \binom{52}{2} ). This equals 1,326 different pairs of cards.
You can choose 5 different hats and for each of them 4 different sunglasses can be chosen, giving 5 x 4 = 20 different combinations.
To find the number of different pairs that can be made from 12 numbers, you can use the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ), where ( n ) is the total number of items, and ( k ) is the number of items to choose. For pairs, ( k = 2 ), so the calculation is ( C(12, 2) = \frac{12!}{2!(12-2)!} = \frac{12 \times 11}{2 \times 1} = 66 ). Therefore, 66 different pairs can be formed with 12 numbers.
2268 possibl3
30 different ways
3
You can wind up with 10 different pairs of books in your hand, which you can choose from a shelf of 5 books in 20 different ways.
In a standard deck of 52 playing cards, the number of different pairs of cards you can be dealt is calculated using combinations. Specifically, you can choose 2 cards from 52, which is represented mathematically as ( \binom{52}{2} ). This equals 1,326 different pairs of cards.
How many different outfits are possible from six shirts, four pairs of pants, and five pairs of socks?
There are (15 x 14) = 210 different ways to pull 2 from a bag of 15, but only 105 different pairs that you can end up with.
45 outfits
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G owns many different pairs it always a different number.
You can choose 5 different hats and for each of them 4 different sunglasses can be chosen, giving 5 x 4 = 20 different combinations.