Most Important Selected Qs for JEE AdvancedMathematicsPermutation and Combination
Number of natural numbers between 100 and 1000 which can be formed using the digits 1,2,3,4,5,6 , 7 if each digit is used at most once, is also equal to
Options
- A¹⁰ C ₅
- Bthe number of triangles that can be formed with 12 points in a plane with exactly 5 of them being collinear
- Cthe number of ways in which 4 alike apples can be distributed among 10 children if each child gets at most one
- Dthe number of ways of distributing 16 identical fruits among 5 children if each child gets not less than 2 fru
Correct answer
D. the number of ways of distributing 16 identical fruits among 5 children if each child gets not less than 2 fru
Step-by-step solution
Number of natural numbers between 100 and 1000 which can be formed with the digits 1,2,3,4,5,6 , 7 if each digit is used atmost once =7 6 5=210 7 if each digit is used atmost once =7 6 5=210 Option (B) = ¹² C ₃- ⁻⁵ C ₃=210 Option ( C )= ¹⁰ C ₄ 1=210 Option (D) = ¹⁰ C ₄=210