Permutation and CombinationHard
Question
N is a least natural number having 24 divisors. Then the number of ways N can be resolved into two factors is
Options
A.12
B.24
C.6
D.None of these
Solution
N = 2α .3β 5γ = 23 .32 .5
(α + 1) (β + 1) (γ + 1) = 4.3.2
N = 360 = 23 . 32 .5
(α + 1) (β + 1) (γ + 1) = 4.3.2
N = 360 = 23 . 32 .5
Create a free account to view solution
View Solution FreeMore Permutation and Combination Questions
Eight chairs are numbered from 1 to 8. Two women and three men wish to occupy one chair each. First women choose the cha...The number of 4 - digit numbers formed with the digits 1,2, 3,4,5,6,7 which are divisible by 25 is (Rept. not allowed) -...In how many way can a game of tennis be played from 3 men and 4 women when each team contains one man and one woman-...Which of the following is the empty set ?...If in a regular polygon the number of diagonals is 54, then the number of sides of this polygon is :...