A girl has three library cards and seven books of her interest in the library of Mindworkzz, Of these books she would not like to borrow the D.L. book, unless t Quants book is also borrowed. In how many ways can she take the three books to be borrowed (a) 15 (b) 20 (c) 25 (2) 30 58. From a group of 12 dancers, five have to be taken for a show. Among them Radha and 5 Mohan decide either both of them would join or none of them would join. In how many ways can the 5 dancers be chosen? (a) 190 (b) 210 © 278 (d) 372

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Please help me out with the below scenario,

Suppose I have a set of duplicate numbers such as S={1,2,3,1,2,3}

and out of those I have to select 4 numbers such that their rearrangement is not counted.

For e.g in this case for selection 4 numbers

1,2,3,1

1,2,3,2

1,2,3,3

1,1,2,2

2,2,3,3

1,1,3,3

so total 6 cases are possible.

while selecting 5 numbers

1,2,3,1,2

1,2,3,1,3

1,2,3,2,3

only three cases are possible.

Can some please come up with a solution for the question and the set can be of any number with equal number of duplicates in it.

xat discution

In how many ways can 14 Identical toys distributed among 3 boys so that each boy gets at least one toy and no two boy get the same number of toys?

Total number of three friends with moti, sumit and manky put together is 10.If the sum of a reciprocal of a number of bananas with the three friends is 1.What is the difference between the number of bananas with moti and sumit?

Can anyone share all the basic formulas needed for P&C?

And few basic examples and Few specific repeated difficult questions.?

It will be helpful. Thanks. 😃

Five balls of different colors are to be placed in three different boxes such that each box gets at least 1 ball. What is maximum number of ways in which this can be done ?

ans 150 or 180

Arun Sharma Worked out example he has given it has 150 .. shouldn't it be 180 ?!!

1) IxI+IyI+IzI=15- Total no. of integral solutions?

2) xyz=10^6- Total no. of natural no. solutions?

Can someone explain the approach to such questions please?

How many ways can the letters of the word VARIETY Be arranged so that exactly two vowels are together?

1) Say she doesn't need DL book, then she can choose in 6c3 ways = 20 ways Id she she chooses the DL book then in 5c1 ways = 5 ways Total = 20+5 = 25 ways

2) 10c5 ways when both (Radha and Mohan) are not chosen 10c5 ways = 252 ways and when both are chosen = 10c3ways = 120 ways => total = 372 ways