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The number of ways in which we can select four numbers from 1 to 30 so as to exclude every selection of four consecutive numbers is???? ...

How many triangles can be constructed whose largest side is (a) 2p (b) 2p 1 also find the number if 2p =10 .i.ie the lenght of largest side is 10 . i.e. a≤b≤c =10 . ...

Prove: 1/(n+1) + 1/2(n+1)2 + 1/3(n+1)3 = 1/(n)  1/2(n)2 + 1/3(n)3 ...

U have n identical coins... How to divide it into k parts such that each part has a maximum of M and a minimum of N? ...

Find range of y: y=4{x}33{x}1 ...

In how many ways can 20 identical balls be distributed among 9 children? i want to make it clear: *all 20 balls may not be distributed *each of them may not get a ball ...

prove: 1+ 23/2! + 33/3! + 43/4! + + ........... = 5e ...

In a club election the number of contestants is one more than the max. number of candidates for which voter can vote.If the total number of ways in which a voter can vote be 62,then number of candidates= ...

The total number of natural numbers of 6 digits that can be made with digits 1,2,3,4 if all digits are to appear in at least once are........ ...

The number of numbers that can be formed by using the digits 1,2,3,3,3,2,1 so that odd digits always occupy odd palces is ...

The number and sum of divisors of the number 1800 which are proper and divisible by 6= ...

If a denotes the number of permutations of (x+2) things taken all at a time,b the number of permutations of x things taken 11 at a time and c the number of permutations of (x11) things taken all at a time such that a=182 ...

If mn+1 pairs of letters are written down,each pair consisting of one chosen from the m letters a1,a2,....and the other from letters b1,b2,.....bn , then show that there are at least two pairs identical. ...

Out of 10 consonants and four vowels , the number of words that can be formed usiong six consonants and three vowels are....... ...

Find the number of combination of n flowers of which p are identical taken r at a time.Does the answer depend on cases(i)r>p (ii)r<=p ...

A survey shows that 63% of americans like cheese whereas 76% like apples.If x% like both , find range of x ...

If 23 people sit around a round table,then prove that the unfavourable chance ratio of two particular pesons sitting together is 10:1 ...

From a pack of cards two cards are taken out and thrown away. Now a card is drawn at random.Find the probability of the card to be an ace. ...

what is the least perfect square that when divided by 3 leaves 2 as remainder wen divided by 4 leaves 3 as a remainder and wen divided by 5 leaves 4 ...

What is the number of matches to be played in a tennis tournament with n players? (assume there is no playoff for losers) i.e. no match for 3rd/4th position. Only the winners keep playing! ...

if on an average 100 new phone connections are given in a city evey week. The phone numbers of the city are 6 digit long. (of course not starting with 0) How many days will it take for the exchange to exhaust of all numbers! ...

This question was from the test. I did not understand the solution. Could someone tell me the solution again? 1<sup>2</sup>2<sup>2</sup>+3<sup>2</sup>4<sup>2</sup>......... n& ...

'A' is a set containing n elements. A subset 'P' of 'A' is chosen. The set 'A' is reconstructed by replacing the elements. A subset 'Q' is again chosen. Now... ...

show that: (nCo)2  (nC1)2 + (nC2)2...(1)n (nCn)2 =0, n is odd (1)n/2 (nCn/2) , n is even here, where evr i have multiplied 2 with nC terms..their they are its power...and 'n' is also a power of 1 in the same ...

My friend gave this question yesterday.... pls tell me ... i have a bet with him! x2=x+x+x+.... n times.... take derivative of both side... 2x=1+1+1+... x times thus, 2x=x! ...

2^x= x2+1 i am getting two.... 0 and 1. ny other??? ...

Find values of a and b for which the eqns have only 1 soln. 2x+x=y+x2+a x2+y2=1 ...

ii = ? ...