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

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

1 king and 4 non kings or 2 kings and 3 non kings or 3 kings and 2 non kings or 4 kings and 1 non king.
Number of selections
=`""^4 C_1` × `""^48 C_4` +`""^4 C_2`× `""^48 C_3` +`""^4 C_3` × `""^48 C_2` +`""^4 C_4` × `""^48 C_1`
...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NCERT|Exercise EXERCISE 7.3|11 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT|Exercise EXERCISE 7.2|5 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT|Exercise EXERCISE 7.1|6 Videos

  • MATHEMATICAL REASONING

    NCERT|Exercise EXERCISE 14.3|4 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT|Exercise EXERCISE 4.1|24 Videos

Similar Questions

Explore conceptually related problems

Determine the number of 5 card combinations out of a deck of 52 cards if at least one of the 5 cards has to be as king?

Determine the number of 5 cards combinations out of a pack of 52cards if at least 3 out of 5 cards are ace cards?

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 red card or a heart or a king.

From a deck of 52 cards, the probability of drawing a face card is

If a card is selected from a deck of 52 cards, then the probability of a being a red face card is

Select one card form the pack of 52 cards.

Find the probability that when a hand of 7 cards is dealt from a well-shuffled deck of 52 cards,it contains ( i) all 4 kings ( ii) exactly 3 kings (iii) at least 3 kings.