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Mathematics · JEE | PERMUTATIONS AND COMBINATIONS

हिन्दी

What is the number of ways of choosing 4 cards from a pack of 52 playing cards such that all four cards are of the same suit?

  1. A
    270725
  2. B
    5720
  3. C
    2860
  4. D
    495
View Answer & Solution

Correct answer · Option C

2860

Explanation

Calculated as \( 4 \times {^{13}\text{C}_4} = 4 \times 715 = 2860 \).

Related questions

If \( {^n\text{P}_5} = 42 \, {^n\text{P}_3} \), where \( n > 4 \), find the value of \( n \).→Find the number of 4-digit numbers greater than \( 5000 \) that can be formed using the digits \( 3, 5, 6, 7, 8 \) without repetition.→Determine \( n \) if \( {^{2n}\text{C}_3} : {^n\text{C}_3} = 12 : 1 \).→Match List-I with List-II: List-I List-II A \( {}^{5}P_2 \) I \( 120 \) B \( {}^{5}P_5 \) II \( 20 \) C \( {}^{6}P_3 \) III \( 60 \) D \( {}^{4}P_3 \) IV \( 24 \) Choose the correct answer from the options given below:→
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