Question
A five digits number is chosen at random. What is the
probability that all the digits are distinct, the digits at odd places are odd and the digits are at even places are even?Solution
Odd digits – 1, 3, 5, 7, 9 Even digits – 0, 2, 4, 6, 8 Since, odd digits at odd places and even digits at even place. Places of odd digits – 3 Places of even digits – 2 ∴ Favourable ways = ⁵P₃ × ⁵P₂ = 5 × 4 × 3 × 5 × 4 = 1200 ∴ Total five digits numbers that can be formed = 9 × 10 × 10 × 10 × 10 = 90,000 Required probability = 1200/90000 = 1/75
World Hearing Day is observed every year on which date?
Which of the following firm has recently launches 360-degree panaromic street view 'Mappls RealView'?
The Invest Rajasthan Summit,2022 which was supposed to be held on 24th and 25th January, 2022 in Jaipur was postponed due to emerging cases of Covid 19,...
What was the primary reason cited by Russia for formally withdrawing from the 1990 Treaty on Conventional Armed Forces in Europe (CFE)?
Who partnered with the State Bank of India (SBI) for the 'Grow with the Trees' drive in Srinagar?
'Shell India' has appointed whom as its new chairperson?
Which Indian film was selected for the Cannes Film Festival in the ‘La Cinef’ category in 2024?
The first common forum of dispute resolution between the Centre and states,the Goods and Services Tax Appellate Tribunal (GSTAT) will be having how many...
The union cabinet has approved and finalized the development of the new Dholera greenfield airport in which of the following states?
Atal Vayo Abhyuday Yojana (AVYAY) is aimed at supporting which segment of the population?