Messages are conveyed by arranging four white, one blue, and three red flags on a pole. Flags of the same color are alike. If a message is transmitted by the order in which the colors are arranged, the total number of messages that can be transmitted if exactly six flags are used is a. `45` b. `65` c. `125` d. `185`

Messages are conveyed by arranging 4 white , 1 blue and 3 red flags on a pole . Flags of the same colour are alike . If a message is transmitted by the order in which the colours are arranged then the total number of messages that can be transmitted if exactly 6 flags are used is

The total number of signals that can be made with 5 different colored flags is (A) 350 (B) 325 (C) 360 (D) 720

How many different signals can be transmitted by arranging 2 red, 3 yellow and 2 green flags on pole, if all the seven flags are used to transmit a signal?

There are 2 identical white balls,3 identical red balls,and 4 green balls of different shades. Find the number of ways in which they can be arranged in a row so that at least one ball is separated from the balls of the same color.

In how many ways can 5 flags, in which 3 are red, one is white and once is blue, be arranged on a staff, one below the other, if flags of one colour are not distinguishable?

The number of flags with three strips in order, that can be formed using 2 indentical red, 2 identical blue and 2 identical white strips is

There are (n+1) white and (n+1) black balls,each set numbered 1to n+1. The number of ways in which the balls can be arranged in a row so that the adjacent balls are of different colors is a.(2n+2)! b.(2n+2)!xx2 c.(n+1)!xx2 d.2{(n+1)!}^(2)

Number of shortest ways in which we can reach from the (0, 0, 0) to point (3,7. 11) in space where the movement ided in 100 is possible only along the r-axis, y axis and z axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is a. equivalent to number of ways of dividing 21 different objects in three groups of size 3,7, 11 b. equivalent to coefficient of y z? in the expansion of its 8, 7, 6, c. equivalent to number of ways of distributing 21 different objects in three boxes of size 3, 7, 11 d. equivalent to number of ways of arranging 21 objects of which 3 are alike of one kind, 7 are alike of second type and 11 are alike of third type Each only one 1. Sta abc Sta dist 2. Star

ided in 100 19g ts 8, 7, 6, 13. umber of shortest ways in which we can reach from the point (0, 0, 0) to point (3.7, 11) in space where the movement is possible only along the r-axis, y axis and z-axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is equivalent to number of ways of dividing 21 different a. objects in three groups of size 3 7, 11 b. equivalent to coefficient of y z in the expansion of c. equivalent to number of ways of distributing 21 different objects in three boxes of size 3, 7, 11 d. equivalent to number of ways of arranging 21 objects of which 3 are alike of one kind, 7 are alike of second type and 11 are alike of third type only one Stateme a. b. d. S 1. Stat abc Stat dist 2. Stat

Directions: Study the information carefully and answer the given questions Six people P, Q, R, S, T, and U live in a building consisting of 6 floors, where the ground floor is numbered as 1 and the topmost floor is numbered as 6. They like all different colors red, blue, black, yellow, green, and white but not necessarily in the same order. R lives on an even-numbered floor but not on the top most floor. The person who likes blue color lives at least above two floors. There are three persons living between the one who likes yellow and the one who likes green color. S lives on the lowermost floor and likes green color. The person who likes blue color lives immediately below the one who likes white color. P and Q live above the 4th floor. The persons who like yellow color lives immediately below the one who likes red color. The one who likes black color lives immediately below the one who likes blue color. U does not like blue color. No person lives between T and R. Either one or two persons live between U and S. Q does not like red color. Who lives immediately above the person who likes white color?