AP EAMCET · Maths · Permutation Combination
The number of 5 card combinations out of a deck of 52 cards if there is exactly one are in each combination is
- A \(823764\)
- B \(363428\)
- C \(778320\)
- D \(542380\)
Answer & Solution
Correct Answer
(C) \(778320\)
Step-by-step Solution
Detailed explanation
Number of selection of 5 cards out 52 cards in each combination there is exactly one ace. \(\begin{aligned} & =4_{\mathrm{cl}} \times 48_{\mathrm{c} 4}=\frac{4 \times 48 \times 47 \times 46 \times 45}{4 \times 3 \times 2 \times 1} \\ & =778320\end{aligned}\)
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