List of top Mathematics Questions on Combinatorics asked in MAH MBA CET

In how many ways 11 identical toys be placed in 3 distinct boxes such that no box is empty?
In how many ways can 8 identical pens be distributed among Aal, Bal, and Cal so that Aal gets at least 1 pen, Bal gets at least 2 pens, and Cal gets at least 3 pens?
In how many ways 5 identical envelopes be placed among 3 distinct boxes such that any number of envelopes can be placed in any box.
Find the number of natural number solutions to \(a + b + c = 8\)
Find the number of whole number solutions to \(a + b + c = 8\)
The number of rectangles in a 6 $\times$ 6 grid is ______.
There are 4 horizontal and 4 vertical lines on a board. What is the maximum number of rectangles that can be formed?
In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both?
In how many ways can 8 identical pens be distributed among Aal, Bal, and Cal so that Aal gets at least 1 pen, Bal gets at least 2 pens, and Cal gets at least 3 pens?
P, Q, R and S are four towns. One can travel between P and Q along 3 direct paths, between Q and S along 4 direct paths, and between P and R along 4 direct paths. There is no direct path between P and S, while there are a few direct paths between Q and R and also between R and S. One can travel from P to S either via Q, or via R, or via Q followed by R, respectively, in exactly 62 possible ways. One can also travel from Q to R either directly, or via P, or via S, in exactly 27 possible ways. Then, the number of direct paths between Q and R is: