A three digits number is to be formed from the digits 1 through7, with no digit being used more than once.How many such number would be less than 289? Solution For the number to be less than 289, we have two possibilities for hundreds place i.e either 1 or 2 should be in the hundreds place but not 3,4,5,6 or 7. hence hundreds place has 2 chances and tens place 6 chances and units place 5 chance. therefore, no.of such numbers= 2x6x5=60.