spades Search

Q:

From a deck of 52 cards, a 5 card hand is dealt.How may distinct five card hands are there if the queen of spades and the four of diamonds must be in the hand?

A) 52C5	B) 50C3
C) 52C4	D) 50C4

Answer & Explanation Answer: B) 50C3

Explanation:

If the queen of spades and the four of diamonds must be in hand,we have 50 cards remaining out of which we are choosing 3.

So, 50 $C_{3}$

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

Q:

From a deck of 52 cards, a 7 card hand is dealt.How many distinct hands are there if the hand must contain 2 spades and 3 diamonds ?

A) 7250100	B) 7690030
C) 7250000	D) 3454290

Answer & Explanation Answer: A) 7250100

Explanation:

There are 13 spades,we must include 2: 13 $C_{2}$

There are 13 diamonds,we must include 3: $13 C_{3}$

Since we can't have more than 2 spades and 3 diamonds,the remaining 2 cards must be pulled out from the 26 remaining clubs and hearts : $26 C_{2}$

Therefore, $13 C_{2} * 13 C_{3} * 26 C_{2}$ = 7250100

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

Q:

A standard deck of playing cards has 13 spades. How many ways can these 13 spades be arranged?

A) 13!	B) 13^2
C) 13^13	D) 2!

Answer & Explanation Answer: A) 13!

Explanation:

The solution to this problem involves calculating a factorial. Since we want to know how 13 cards can be arranged, we need to compute the value for 13 factorial.

13! = (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) = 6,227,020,800

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

Searching for "spades"

Quick Links