Permutations an...

In a cricket championship, there are 36 matches. The number of teams, if each plays 1 match with other are

If ⁿ⁺²C₈ : ^{n –2}P₄ = 57/16, then n is equal to

Four dice are rolled. The number of possible outcomes in which atleast one dice shows 2 is

7 relatives of a man comprises 4 ladies and 3 gentlemen.His wife has also 7 relatives, 3 of them are ladies and 4 gentlemen. In how many ways, can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of man's relative and 3 of the wife's relative?

How many different words can be formed by jumbling the letters in the word 'MISSISSIPPI' in which no two S are adjacent?

All possible two factors products are formed from numbers 1, 2, 3, 4, ..., 200. The number of factors out of the total obtained which are multiples of 5, is

If ¹⁸⁹C₃₅ + ¹⁸⁹C_χ = ¹⁹⁰C_χ, then χ is equal to

The number of selecting atleast 4 candidates from 8 candidates is

There arc 5 letters and 5 different envelopes. The number of ways in which all the letters can be put in wrong envelope, is

There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated, is