In How many ways can one choose 3 cards from a pack of 52 cards in succession (1) with replacement (2) without replacement

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Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Total} \mathrm{cards}=52 \\ \mathrm{Number} \mathrm{of} \mathrm{ways} \mathrm{to} \mathrm{choose} \\ 1. \mathrm{Without} \mathrm{replacement}: : {52}_{{\mathrm{C}}_1}\times {51}_{{\mathrm{C}}_1}\times {50}_{{\mathrm{C}}_1}=52\times 51\times 50=132600 \\ 2. \mathrm{With} \mathrm{replacement}: : {52}_{{\mathrm{C}}_1}\times {52}_{{\mathrm{C}}_1}\times {52}_{{\mathrm{C}}_1}=52\times 52\times 52=140608 \end{gathered}$$

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