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28. In how many different ways can the letters of the word 'RIDICULOUSNESS' be arranged so that the vowels always come together?
29. 4 friends enter a car in which there are 6 capacity ; in how many style can they take their places ?
30. There are 10 steamers plying between Liverpool and Dublin; in how many ways can a man go from Liverpool to Dublin and return by a different steamer ?
31. In how many ways can the letters ofje words “READERS” be arranged ?
32. In how many different ways can the letters of the word EVACUATION be arranged so that the vowels always come together?
33. there are 5 similar red balloons and 4 similar yellow balloons filled with helium gas. if we have the option to release them in air, how many different combination of balloons can be seen flying if atleast 1 balloons of each colour is released ?
34. there are 8 different coloured balls in a basket in how many ways can the selection be done such that the balls are picked up in a group of multiples of 2?
35. there are 5 similar red balloons and 4 similar yellow balloons filled with helium gas. if we have the option to release them in air, how many different combination of balloons can be seen flying if atleast 1 balloons of each colour is released ?
36. In a Library a row have 12 story books. In how many ways can a selection of 5 be made when one specified book is always excluded ?
37. How many different permutations can be made out of the letters of the word ' PHENOMENON' taken all together ?
38. there are 5 similar red balloons and 4 similar yellow balloons filled with helium gas. if we have the option to release them in air, how many different combination of balloons can be seen flying if atleast 1 balloons of each colour is released ?
39. there are 8 different coloured balls in a basket in how many ways can the selection be done such that the balls are picked up in a group of multiples of 2?
40. How many different permutations can be made out of the letters of the word ' analogousness ' taken all together?
41. How many words can be formed from the letters of the word SIMOOM , so that vowels and consonants occur alternately in each word?
42. Out of 7 male child and 6 girl child, five child are to be selected to perform a play so that at least 3 male child are there on the play. In how many ways can it be done?
43. In how many different ways can the letters of the word 'MISBEHAVIOR' be arranged so that the vowels always come together?
44. find the number of ways in which the letter of CONNUNDRUM can be arranged.
45. Salim makes a necklace for rajesh. the necklace has only the alphabets present in Rajesh's name. how many different necklaces can he use if all the available alphabets are to be used in each necklace ?
46. There are 5 flights (F1,F2,F3,F4,F5) connecting Mumbai -kolkata and 3 roads(R1,R2,R3) connecting Kolkata -Nepal. in how many ways can a person travel from Mumbai to Nepal such that road R2 is accessible only for flight F3 ?
47. The number of four digit numbers that are less than 2003 and the sum of whose didgits is less than the sum of the digits of 2003 is:
48. How many 13 digits even numbers can be formed by using the digits 1,2,3,4,56,7,8,9,10,11,12,13,14 with out repetition of the digits?
49. there are 5 similar red balloons and 4 similar yellow balloons filled with helium gas. if we have the option to release them in air, how many different combination of balloons can be seen flying if atleast 1 balloons of each colour is released ?
50. there are 8 different coloured balls in a basket in how many ways can the selection be done such that the balls are picked up in a group of multiples of 2 ?
51. find the number of ways in which the letter of CONNUNDRUM can be arranged.
52. there are flights (F1,F2,F3,F4,F5) connecting Mumbai-Kolkata and 3 roads(R1,R2,R3) connecting Kolkata-Nepal. in how many ways can a person travel from Mumbai to Nepal such that road R2 is accessible ? only for flight F3 ?
53. salim makes a necklace for rajesh. the necklace has only the alphabets present in Rajesh's name. how many different necklace can he use if all the available alphabets are to be used in each necklace ?
54. there are 5 similar red balloons and 4 similar yellow balloons filled with helium gas. if we have the option to release them in air, how many different combination of balloons can be seen flying if atleast 1 balloons of each colour is released ?