(C) The total number of ways to select $4$ cards from $52$ cards is given by $^{52}C_4$.There are $4$ suits in a deck,and each suit contains $13$ card

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(C) The total number of ways to select $4$ cards from $52$ cards is given by $^{52}C_4$.There are $4$ suits in a deck,and each suit contains $13$ cards.The number of ways to select one card from each of the $4$ suits is $(^{13}C_1)^4$.Therefore,the required probability is $P = \frac{(^{13}C_1)^4}{^{52}C_4} = \frac{13^4}{\frac{52 \times 51 \times 50 \times 49}{4 \times 3 \times 2 \times 1}} = \frac{28561}{270725} = \frac{2197}{20825}$.

Class 11 Mathematics Probability Advanced Use of permutations and combinations in probability

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Four cards are drawn at random from a pack of $52$ playing cards. What is the probability that one card is drawn from each suit?

A
$1/256$
B
$1/270725$
C
$2197/20825$
D
None of these

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Advanced Use of permutations and combinations in probability

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Four cards are drawn at random from a pack of $52$ playing cards. What is the probability that one card is drawn from each suit?

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