plz try to do these questions.
(a) Find the number of distinct permutations that can be formed using the letters of the word “Mathematics”.
(b) How many integers from 1 through 1000 are multiples of 3 or multiples of 5?
Compute for each of the following values of x.
( a ) 20/3 ( b) -2.07
Two cards are drawn at random from a well shuffled pack of 52 cards. Find the probability that:
(i) one is king and other is queen.
(ii) Both are of same color.
(iii) Both are of different color.
A coin is biased such that a head is thrice as likely to occur as a tail. Find the probability distribution of heads and also find the mean and variance of the distribution when it is tossed 4 times.