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How-many-integers-between-100-999-inclusive-consist-of-distinct-odd-digit-




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: 5  •One of the three positions can be     filled in 5 ways.  •One of the remaining two positions      can be filled in 4 ways.  •The last remaining position can be     filled in 3 ways   ∴   5∙4∙3=60 totall ways i-e number         of integers.
$${Number}\:{of}\:{odd}\:{digits}:\:\mathrm{5} \\ $$$$\bullet{One}\:{of}\:{the}\:{three}\:{positions}\:{can}\:{be} \\ $$$$\:\:\:{filled}\:{in}\:\mathrm{5}\:{ways}. \\ $$$$\bullet{One}\:{of}\:{the}\:{remaining}\:{two}\:{positions} \\ $$$$\:\:\:\:{can}\:{be}\:{filled}\:{in}\:\mathrm{4}\:{ways}. \\ $$$$\bullet\mathcal{T}{he}\:{last}\:{remaining}\:{position}\:{can}\:{be} \\ $$$$\:\:\:{filled}\:{in}\:\mathrm{3}\:{ways} \\ $$$$\:\therefore\:\:\:\mathrm{5}\centerdot\mathrm{4}\centerdot\mathrm{3}=\mathrm{60}\:{totall}\:{ways}\:{i}-{e}\:{number} \\ $$$$\:\:\:\:\:\:\:{of}\:{integers}. \\ $$
Commented by Tawa11 last updated on 23/Oct/22
God bless you sir. I really appreciate.
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{really}\:\mathrm{appreciate}. \\ $$

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