61). Arrange the letters of word AUCTION in such a way that the vowels always occur together. Find the number of ways?
A). 576 |
B). 48 |
C). 144 |
D). 30 |
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62). In a group of 6 boys and 4 girls 4 children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
A). 159 |
B). 205 |
C). 194 |
D). 209 |
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63). Out of 11 members of a family 4 are males and rest females. The family hired three taxis on rent to see a museum. The members have to sit in the cars in such a way that not more than 4 members are in any one car and each car has at least one male member. In how many different ways the members can travel?
A). 658 |
B). 126 |
C). 140 |
D). 532 |
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64). In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?
A). 48 |
B). 124 |
C). 120 |
D). 160 |
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65). Two girls and 4 boys are to be seated in a row in such a way that the girls do not sit together. In how many different ways can it be done?
A). 720 |
B). 480 |
C). 360 |
D). 240 |
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66). In how many ways can a group of 5 men and 2 women be made out of total of 7 men and 3 women?
A). 63 |
B). 45 |
C). 126 |
D). 90 |
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67). In how many different ways can the letters of the word CORPORATION be arranged in such a way that the vowels always come together?
A). 840 |
B). 86400 |
C). 8400 |
D). None of these |
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68). A committee of 3 members is to be formed out of 3 men and 4 women. In how many different ways can it be done so that at least one member is a woman?
A). 34 |
B). 12 |
C). 30 |
D). 36 |
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69). 4 boys and three girls are to be seated in a row in such a way that no two boys sit adjacent to each other. In how many different ways can it be done?
A). 5040 |
B). 30 |
C). 144 |
D). 72 |
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70). How many different words can be formed with the letters of the word 'ALLAHABAD'?
A). 7500 |
B). 7560 |
C). 7510 |
D). 7580 |
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