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:
`=7,78,320`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQs|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQs|1 Videos
  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise EXERCISE : 7.4|10 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (QUESTION OF MODULE )|11 Videos

Similar Questions

Explore conceptually related problems

Determine the number of 5 cards combinations out of a deck of 52 cards, if at least one of the 5 cards has to be an ace ?

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

A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart of a red card.

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

A card is selected from a pack of 52 cards. Calculate the probability that the card is an ace of spades.

What is the number of ways of choosing 3 cards from a pack of 52 playing cards ? In how many of these three cards are face cards. In how many of these cards are of same colour ? In how may of these cards of the same suit ?

Given 5 different green dyes, four different blue dyes and three different red dyes, the number of combinations of dyes which can be chosen taking atleast one green and one blue dye is Thinking Process : The numbers of ways to select dyes from 5 green, 4 blue and 3 red are 2^5,2^4 and 2^3 respectyively.

Find the probability that when a hand of 7 cards is drawn from well sheffled deck of 52 cards, it contians (i) all kings (ii) 3 Kings (iii) atleast 3 Kings.

What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these (i) four cards are of the same suit, (ii) four cards belong to four different suits, (iii) are face cards, (iv) two are red cards and two are black cards, (v) cards are of the same colour?

A card is selected from a pack of 52 cards. How many points are there in the sample space ?