Question

In how many ways can we distribute 10 identical pencils to 4 students so that each student gets at least one pencil

Answer 1

Answer:

84

Step-by-step explanation:

To get each student gets at least 1 pencil.First, we distribute 4 pencils each 1 to 4 students.

Remaining pencils are 6(Total 10 pencils we already distribute 4 pencils).

Number of ways of distributing n identical things among r persons when each person may get any 

number of things =(n+r-1)C(r-1)

here n=6 & r=4 

hence 9C3=(9×8×7)/(3×2×1)

=84

Therefore answer is 84 ways.

Answer 2

Answer: 84

Step-by-step explanation:

Number of ways of distributing r identical objects n distinct objects so that each gets atleast one =  $^{n-1}C_{r-1} = ^{10-1}C_{4-1} = ^{9}C_{3}$

So, ways = $9!/(3!*6!)$ = 84

(I hope it will be marked as Brainliest)