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tydukes10
21.04.2020 •
Mathematics
A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\diamondsuit$, called 'hearts' and 'diamonds') are red, the other two ($\spadesuit$ and $\clubsuit$, called 'spades' and 'clubs') are black. The cards in the deck are placed in random order (usually by a process called 'shuffling'). In how many ways can we pick two different cards
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Ответ:
The number of ways to select 2 cards from 52 cards without replacement is 1326.
The number of ways to select 2 cards from 52 cards in case the order is important is 2652.
Step-by-step explanation:
Combinations is a mathematical procedure to compute the number of ways in which k items can be selected from n different items without replacement and irrespective of the order.
Permutation is a mathematical procedure to determine the number of arrangements of k items from n different items respective of the order of arrangement.
In this case we need to select two different cards from a pack of 52 cards.
Two cards are selected without replacement:Compute the number of ways to select 2 cards from 52 cards without replacement as follows:
Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.
Two cards are selected and the order matters.Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:
Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.
Ответ:
Angle 1 =65°(vertically opposite angles)
Angle 2 =65°(corresponding angles)