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**jacks**- Replies: 5

the number of ways of dividing

men and women into couples each consisting of a man and a woman isYes Bobbym(Administrator.)

**jacks**- Replies: 2

Total no. of ways by which we can arrange the word

in a grid such that no same letter occur in each row and now row remain empty.**jacks**- Replies: 7

the number of ways of dividing 15 men and 15 women into 15 couples each consisting of a man and a woman is

Thanks Admin and anonimnystefy got it

I have solved (1) one

19! contain factor of 9. so R.H.S must be divisible by 9.

So for divisibility by 9., sum of digit must be divisible by 9.

So

so a = 1 .

But I did not understand how can i solved (ii) one

Thanks

**jacks**- Replies: 34

(1) If

Then value of is(2) If

. Then value of isIt's the number of paths from A to F times the number of paths from G to B.

To anonimnystefy I did not understand it

why we minus it.

please explain it to me

Thanks

To Admin (Bobbym) i did not understand it

It is just adding up all the paths in the lattice around the missing intersection.

Thanks

To anonimnystefy I have understand

(Which is Total no. of path from **A** to **B**, If There is a connectivity between F to G)

but Did not understand

Would you explain it to me.

Thanks

Thanks anonimnystefy

To friends I have edited by Question.

Thanks bobbundy I am Getting 28

Thanks Bobbym would you like to explain me to it.

**jacks**- Replies: 4

Integer values of

for which is a perfect square.**jacks**- Replies: 1

How can i solve Differential equation

To anonimnystefy I have edited it.

I am Getting **12**. To Admin. (bobbym) is it right or not

Thanks

Would you like to explain me analytical answer.

I also tried for that method but could not get it.

(But I like yours Counting method.)

Yes Bobbym I need upper bond.

Thanks Bobbym would you like to explain it to me, Thanks

**jacks**- Replies: 2

[1] Calculation of Total no. of **Triangles ** form joining any **3** points in a Given Figure.

[2] Calculation of Total no. of **Square ** form joining any **4** points in a Given Figure.

[2] Calculation of Total no. of **Rectangle** form joining any **4** points in a Given Figure.

**jacks**- Replies: 10

Starting at the **M** in the center of the Letter below, you may move Left, Right,Up or Down to anadjoining Letter.

How many Distinct paths can be followed to spell the word **MATH**

Thanks Bobbym Got it.

Would you like to explain it to me, Thanks

**jacks**- Replies: 5

{A} Total no. of positive integer ordered pairs of

which satisfy{B} Total no. of positive integer ordered pairs of

which satisfy