Step-by-step explanation:
Please solve; help is appreciated
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Answer:
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 <em>k</em> items can be selected from <em>n</em> different items without replacement and irrespective of the order.
Permutation is a mathematical procedure to determine the number of arrangements of <em>k</em> items from <em>n</em> 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.
Looks like the given function is
Recall that for |<em>x</em>| < 1, we have
We want the series to be centered around , so first we rearrange <em>f(x)</em> :
Then
which converges for |(<em>x</em> - 4)/5| < 1, or -1 < <em>x</em> < 9.