The number of different ways in which five "alike dashes" and "eight alike" dots can be arranged using only seven of these "dashes" and "dots" is a. `350` b. `120` c. `1287` d. none of these

The number of different messages produced by using five signals with three dots and two dashes is

The number of arrangements of the letters of the word BHARAT taking 3 at a time is a. 72 b. 120 c. 14 d. none of these

The number of ways in which we can get a score of 11 by throwing three dice is a. 18 b. 27 c. 45 d. 56

Two packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is a. ^(52) C_(26). 2^(26) b. ^104 C_(26) c. ^(52)C_(26) d. none of these

The number of six letter words that can be formed using the letters of the word ASSIST in which Ss alternate with other letters is 12 b. 24 c. 18 d. none of these

The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is 576 b. \ ^4C_3xx4! c. 2xx4! d. none of these

The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive is 4!xx3! b. 4! c. 3!xx3! d. none of these

The number of ways of choosing a committee of two women and three men from five women and six men, if Mr. A refuses to serve on the committee if Mr. B is a member and Mr. B can only serve if Miss C is the member of the committee is a. 60 b. 84 c. 124 d. none of these

Number of ways in which 8 people can be arranged in a line if A and B must be next each other and C must be somewhere behind D, is equal to

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these