HSC Commerce (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Express the recurring decimal as a rational number.

3.4`bar56`

Find `sum_(r=1)^n (1+2+3+......+r)/r`

Find `sum _(r=1)^(n)  (1 + 2 + 3 + ... + r)/r`

Find `\underset{r=1}{\overset{n}{sum}} (1 + 2 + 3 +... + r)/(r)`

Find n, if `(1xx2+2xx3+3xx4+4xx5+...+"upto n terms")/(1+2+3+4+...+"upto n terms")=100/3 . `

Find n, if `(1 xx 2 + 2 xx3+3xx4+4xx5+... +"upto n terms")/(1+2+3+4+...+ "upto n terms") = 100/3`.

Find n, if `(1 xx 2 + 2 xx 3 + 3 xx 4 + 4 xx 5 + ... + "upto n terms")/ (1 + 2 + 3 + 4 + ...  + "upto n terms") = 100/3`  

Find `sum_(r = 1)^n (1 + 2 + 3 + .... + r)/r.`

In how many different ways can 8 friends sit around a table?

A party has 20 participants and a host. Find the number of distinct ways for the host to sit with them around a circular table. How many of these ways have two specified persons on either side of the host?

Find the number of ways for 15 people to sit around the table so that no two arrangements have the same neighbours.

A committee of 20 members sits around a table. Find the number of arrangements that have the president and the vice president together.

Find the number of sitting arrangements for 3 men and 3 women to sit around a table so that exactly two women are together.

Four objects in a set of ten objects are alike. Find the number of ways of arranging them in a circular order.

Find n if `""^6"P"_2 = "n" ""^6"C"_2`

Find n if `""^(2"n")"C"_3: ""^"n""C"_2` = 52:3

Find n and r if `""^"n""P"_"r"` = 720 and `""^"n""C"_("n" - "r")` = 120

Find the number of ways of drawing 9 balls from a bag that has 6 red balls, 5 green balls, and 7 blue balls so that 3 balls of every colour are drawn.

There are 20 straight lines in a plane so that no two lines are parallel and no three lines are concurrent. Determine the number of points of intersection.

There are 3 wicketkeepers and 5 bowlers among 22 cricket players. A team of 11 players is to be selected so that there is exactly one wicketkeeper and at least 4 bowlers in the team. How many different teams can be formed?