Q56 / 160 · AP EAMCET 2022 (08 Jul Shift 1) · Mathematics

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
$363428$
Correct answer
C
$778320$
D
$542380$

Solution

Number of selection of 5 cards out 52 cards in each combination there is exactly one ace. $\begin{aligned} & =4_{\mathrm{cl}} \times 48_{\mathrm{c} 4}=\frac{4 \times 48 \times 47 \times 46 \times 45}{4 \times 3 \times 2 \times 1} \\ & =778320\end{aligned}$

Hence, the correct answer is option: 'C'.

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