Question

In how many ways can we distribute 10 identical looking pencils to 4 students so that each student gets at least 1 pencil?
Options are 5040,210,84 or none of these.

Answer 1

can u explain plz?

Answer 2

This is a combination

Answer 3

ya answer is 210 its formula of combination

Answer 4

Basically a certain number of objects taken (or distributed, or used or taken, whatever word they use in this case its distributed)

Answer 5

In a certain fashion

Answer 6

!=factorial like 3!=3*2*1

Answer 7

When you have that, the formula for a combination is \[\Large \frac{n!}{r!(n-r)!}\]

N=The total number of objects and
r= The number of ways its distributed or however it is

Answer 8

Now an imp tip to remeber is that in this case when we plug it in, that to numbers on the bottom add up to the top number (The 6+4)=10 6!4! is not equal to 10 Im just talking about the number in front of the ! anyways (!) means to multiply all the numbers before the number to 1 (all the natural numbers)