Home
Class 11
MATHS
Determine the number of 5-card combinati...

Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.

Text Solution

Verified by Experts

The correct Answer is:
`""^(4)C_(1) xx ""^(48)C_(4)`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NCERT TAMIL|Exercise EXERCISE 7.4|10 Videos

  • MATRICES AND DETERMINANTS

    NCERT TAMIL|Exercise EXERCISE 7.5|25 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT TAMIL|Exercise EXERCISE - 4.1|22 Videos

Similar Questions

Explore conceptually related problems

Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly three aces in each combination .

The number of ways of choosing 5 cards out of a deck of 52 which include at least one king is

What is the probability of selecting a red king from a deck of cards?

Find the number of ways of dividing 52 cards among four players equally.

Two packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is a. ^52 C_(26). 2^(26) b. ^104 C_(26) c. dot^(52)C_(26) d. none of these

The King , Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting (i) a diamond (ii) a queen (iii) a spade (iv) a heart card bearing the number 5.