Question Number 178969 by Tawa11 last updated on 23/Oct/22
"How many integers between 100 – 999 inclusive consist of distinct odd digit"
Answered by Rasheed.Sindhi last updated on 23/Oct/22
$${Number}\:{of}\:{odd}\:{digits}:\:\mathrm{5} \\ $$$$\bullet{One}\:{of}\:{the}\:{three}\:{positions}\:{can}\:{be} \\ $$$$\:\:\:{filled}\:{in}\:\mathrm{5}\:{ways}. \\ $$$$\bullet{One}\:{of}\:{the}\:{remaining}\:{two}\:{positions} \\ $$$$\:\:\:\:{can}\:{be}\:{filled}\:{in}\:\mathrm{4}\:{ways}. \\ $$$$\bullet\mathcal{T}{he}\:{last}\:{remaining}\:{position}\:{can}\:{be} \\ $$$$\:\:\:{filled}\:{in}\:\mathrm{3}\:{ways} \\ $$$$\:\therefore\:\:\:\mathrm{5}\centerdot\mathrm{4}\centerdot\mathrm{3}=\mathrm{60}\:{totall}\:{ways}\:{i}-{e}\:{number} \\ $$$$\:\:\:\:\:\:\:{of}\:{integers}. \\ $$
Commented by Tawa11 last updated on 23/Oct/22
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{really}\:\mathrm{appreciate}. \\ $$