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A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\dia

Gnoma [55]

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 k items can be selected from n different items without replacement and irrespective of the order.

${n\choose k}=\frac{n!}{k!(n-k)!}$

Permutation is a mathematical procedure to determine the number of arrangements of k items from n different items respective of the order of arrangement.

$^{n}P_{k}=\frac{n!}{(n-k)!}$

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:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${52\choose 2}=\frac{52!}{2!(52-2)!}$

$=\frac{52\times 51\times 50!}{2!\times50!}\\=1326$

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:

$^{n}P_{k}=\frac{n!}{(n-k)!}$

$^{52}P_{2}=\frac{52!}{(52-2)!}$

$=\frac{52\times 51\times 52!}{50!}$

$=52\times 51\\=2652$

Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.

6 0

3 years ago

What is the answer worked out

Arlecino [84]

First you have to multiply dividing by 5/2 is the same as multiplying by 2/ So instead of dividing by a fraction, it is easier to turn that fraction upside down, then do a multiply. Dividing Fractions. Turn the second fraction upside down, then multiply.

3 0

3 years ago

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Holly's fitness tracker shows how many

Dafna11 [192]

Holly would have to climb 92 flights of stairs in the fifth week

5 0

4 years ago

Please help me with this

erma4kov [3.2K]

Answer:

3/8

Step-by-step explanation:

Find the height of the trapezoids

20 - 10 = 10

10/2 = 5

Find the area of the trapezoids

5*(20+10)/2 = 75

The formula for the area of the trapezoid is the height * the bases added together divided by 2

75*2(this is because there are 2 trapezoids) = 150

Put this to proportion of the total area of the dart board

150/ $20^{2}$ = 150/400 = 3/8

3/8 is the probability that you score 3 points

5 0

3 years ago

An isosceles triangle has how many congruent angles

r-ruslan [8.4K]

Answer:

It has two congruent angles because if they do have two congruent angles, then they are called and isosceles triangle. Hope this helps and if it did, please mark as brainliest.

8 0

4 years ago