Permutation as an Arrangement
Permutation and Combination

119015 Seven wedding occur in a week. What is the probability that they happen on the same day?

1 \(\frac{1}{7}\)
2 \(\frac{1}{7^4}\)
3 \(\frac{1}{7^6}\)
4 None of these
Permutation and Combination

119017 The total number of ways of selecting two numbers from the set \(\{1,2,3, \ldots, 30\}\), so that their sum is divisible by 3 , is

1 95
2 145
3 190
4 None of the above
Permutation and Combination

119018 Three straight lines \(l_1, l_2, l_3\) are parallel and lie on the same plane. 5 points are taken on line \(l_1\). 6 points are taken on line \(l_2\) and 7 points are taken on line \(l_3\). What is the maximum number of triangles formed with vertices at these points?

1 620
2 746
3 751
4 781
Permutation and Combination

119019 The total number of 5 -digit numbers, formed by using the digits \(1,2,35,6,7\) without repetition, which are multiple of 6 , is

1 36
2 48
3 60
4 72
Permutation and Combination

119020 A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail the first two times is

1 \(\frac{9}{64}\)
2 \(\frac{1}{64}\)
3 \(\frac{1}{16}\)
4 \(\frac{9}{16}\)
Permutation and Combination

119015 Seven wedding occur in a week. What is the probability that they happen on the same day?

1 \(\frac{1}{7}\)
2 \(\frac{1}{7^4}\)
3 \(\frac{1}{7^6}\)
4 None of these
Permutation and Combination

119017 The total number of ways of selecting two numbers from the set \(\{1,2,3, \ldots, 30\}\), so that their sum is divisible by 3 , is

1 95
2 145
3 190
4 None of the above
Permutation and Combination

119018 Three straight lines \(l_1, l_2, l_3\) are parallel and lie on the same plane. 5 points are taken on line \(l_1\). 6 points are taken on line \(l_2\) and 7 points are taken on line \(l_3\). What is the maximum number of triangles formed with vertices at these points?

1 620
2 746
3 751
4 781
Permutation and Combination

119019 The total number of 5 -digit numbers, formed by using the digits \(1,2,35,6,7\) without repetition, which are multiple of 6 , is

1 36
2 48
3 60
4 72
Permutation and Combination

119020 A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail the first two times is

1 \(\frac{9}{64}\)
2 \(\frac{1}{64}\)
3 \(\frac{1}{16}\)
4 \(\frac{9}{16}\)
Permutation and Combination

119015 Seven wedding occur in a week. What is the probability that they happen on the same day?

1 \(\frac{1}{7}\)
2 \(\frac{1}{7^4}\)
3 \(\frac{1}{7^6}\)
4 None of these
Permutation and Combination

119017 The total number of ways of selecting two numbers from the set \(\{1,2,3, \ldots, 30\}\), so that their sum is divisible by 3 , is

1 95
2 145
3 190
4 None of the above
Permutation and Combination

119018 Three straight lines \(l_1, l_2, l_3\) are parallel and lie on the same plane. 5 points are taken on line \(l_1\). 6 points are taken on line \(l_2\) and 7 points are taken on line \(l_3\). What is the maximum number of triangles formed with vertices at these points?

1 620
2 746
3 751
4 781
Permutation and Combination

119019 The total number of 5 -digit numbers, formed by using the digits \(1,2,35,6,7\) without repetition, which are multiple of 6 , is

1 36
2 48
3 60
4 72
Permutation and Combination

119020 A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail the first two times is

1 \(\frac{9}{64}\)
2 \(\frac{1}{64}\)
3 \(\frac{1}{16}\)
4 \(\frac{9}{16}\)
Permutation and Combination

119015 Seven wedding occur in a week. What is the probability that they happen on the same day?

1 \(\frac{1}{7}\)
2 \(\frac{1}{7^4}\)
3 \(\frac{1}{7^6}\)
4 None of these
Permutation and Combination

119017 The total number of ways of selecting two numbers from the set \(\{1,2,3, \ldots, 30\}\), so that their sum is divisible by 3 , is

1 95
2 145
3 190
4 None of the above
Permutation and Combination

119018 Three straight lines \(l_1, l_2, l_3\) are parallel and lie on the same plane. 5 points are taken on line \(l_1\). 6 points are taken on line \(l_2\) and 7 points are taken on line \(l_3\). What is the maximum number of triangles formed with vertices at these points?

1 620
2 746
3 751
4 781
Permutation and Combination

119019 The total number of 5 -digit numbers, formed by using the digits \(1,2,35,6,7\) without repetition, which are multiple of 6 , is

1 36
2 48
3 60
4 72
Permutation and Combination

119020 A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail the first two times is

1 \(\frac{9}{64}\)
2 \(\frac{1}{64}\)
3 \(\frac{1}{16}\)
4 \(\frac{9}{16}\)
Permutation and Combination

119015 Seven wedding occur in a week. What is the probability that they happen on the same day?

1 \(\frac{1}{7}\)
2 \(\frac{1}{7^4}\)
3 \(\frac{1}{7^6}\)
4 None of these
Permutation and Combination

119017 The total number of ways of selecting two numbers from the set \(\{1,2,3, \ldots, 30\}\), so that their sum is divisible by 3 , is

1 95
2 145
3 190
4 None of the above
Permutation and Combination

119018 Three straight lines \(l_1, l_2, l_3\) are parallel and lie on the same plane. 5 points are taken on line \(l_1\). 6 points are taken on line \(l_2\) and 7 points are taken on line \(l_3\). What is the maximum number of triangles formed with vertices at these points?

1 620
2 746
3 751
4 781
Permutation and Combination

119019 The total number of 5 -digit numbers, formed by using the digits \(1,2,35,6,7\) without repetition, which are multiple of 6 , is

1 36
2 48
3 60
4 72
Permutation and Combination

119020 A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail the first two times is

1 \(\frac{9}{64}\)
2 \(\frac{1}{64}\)
3 \(\frac{1}{16}\)
4 \(\frac{9}{16}\)