Division and Distribution of Distinct Object
Permutation and Combination

119224 The remainder obtained when
\(1 !+2 !+\ldots+200\) ! is divided by 14 is

1 3
2 4
3 5
4 None of the above
Permutation and Combination

119225 In a certain school, \(74 \%\) students like cricket, \(76 \%\) students like foot-ball and \(82 \%\) like tennis. Then all the three sports are liked by at least

1 \(68 \%\)
2 \(32 \%\)
3 \(77 \%\)
4 \(36 \%\)
Permutation and Combination

119226 Consider the set \(\mathbf{A}=\{1,2,3 \ldots, 30\}\). The number of ways in which one can choose three distinct numbers from \(A\) so that the product of the chosen numbers is divisible by 9 is

1 1590
2 1505
3 1110
4 1025
Permutation and Combination

119227 The number of ways of choosing a committee from four men and six women so that the committee includes atleast two men and exactly twice as many women as men is

1 90
2 92
3 94
4 96
Permutation and Combination

119229 Numbers between 1 and 10,000 are formed using the digits 2 and 3 only once and the digit 4 twice. If the numbers thus formed are arranged in increasing order and \(x, y\) represent the ranks of 4324 and 324 respectively then \(\mathbf{x}-\mathbf{y}=\)

1 17
2 31
3 14
4 16
Permutation and Combination

119224 The remainder obtained when
\(1 !+2 !+\ldots+200\) ! is divided by 14 is

1 3
2 4
3 5
4 None of the above
Permutation and Combination

119225 In a certain school, \(74 \%\) students like cricket, \(76 \%\) students like foot-ball and \(82 \%\) like tennis. Then all the three sports are liked by at least

1 \(68 \%\)
2 \(32 \%\)
3 \(77 \%\)
4 \(36 \%\)
Permutation and Combination

119226 Consider the set \(\mathbf{A}=\{1,2,3 \ldots, 30\}\). The number of ways in which one can choose three distinct numbers from \(A\) so that the product of the chosen numbers is divisible by 9 is

1 1590
2 1505
3 1110
4 1025
Permutation and Combination

119227 The number of ways of choosing a committee from four men and six women so that the committee includes atleast two men and exactly twice as many women as men is

1 90
2 92
3 94
4 96
Permutation and Combination

119229 Numbers between 1 and 10,000 are formed using the digits 2 and 3 only once and the digit 4 twice. If the numbers thus formed are arranged in increasing order and \(x, y\) represent the ranks of 4324 and 324 respectively then \(\mathbf{x}-\mathbf{y}=\)

1 17
2 31
3 14
4 16
Permutation and Combination

119224 The remainder obtained when
\(1 !+2 !+\ldots+200\) ! is divided by 14 is

1 3
2 4
3 5
4 None of the above
Permutation and Combination

119225 In a certain school, \(74 \%\) students like cricket, \(76 \%\) students like foot-ball and \(82 \%\) like tennis. Then all the three sports are liked by at least

1 \(68 \%\)
2 \(32 \%\)
3 \(77 \%\)
4 \(36 \%\)
Permutation and Combination

119226 Consider the set \(\mathbf{A}=\{1,2,3 \ldots, 30\}\). The number of ways in which one can choose three distinct numbers from \(A\) so that the product of the chosen numbers is divisible by 9 is

1 1590
2 1505
3 1110
4 1025
Permutation and Combination

119227 The number of ways of choosing a committee from four men and six women so that the committee includes atleast two men and exactly twice as many women as men is

1 90
2 92
3 94
4 96
Permutation and Combination

119229 Numbers between 1 and 10,000 are formed using the digits 2 and 3 only once and the digit 4 twice. If the numbers thus formed are arranged in increasing order and \(x, y\) represent the ranks of 4324 and 324 respectively then \(\mathbf{x}-\mathbf{y}=\)

1 17
2 31
3 14
4 16
Permutation and Combination

119224 The remainder obtained when
\(1 !+2 !+\ldots+200\) ! is divided by 14 is

1 3
2 4
3 5
4 None of the above
Permutation and Combination

119225 In a certain school, \(74 \%\) students like cricket, \(76 \%\) students like foot-ball and \(82 \%\) like tennis. Then all the three sports are liked by at least

1 \(68 \%\)
2 \(32 \%\)
3 \(77 \%\)
4 \(36 \%\)
Permutation and Combination

119226 Consider the set \(\mathbf{A}=\{1,2,3 \ldots, 30\}\). The number of ways in which one can choose three distinct numbers from \(A\) so that the product of the chosen numbers is divisible by 9 is

1 1590
2 1505
3 1110
4 1025
Permutation and Combination

119227 The number of ways of choosing a committee from four men and six women so that the committee includes atleast two men and exactly twice as many women as men is

1 90
2 92
3 94
4 96
Permutation and Combination

119229 Numbers between 1 and 10,000 are formed using the digits 2 and 3 only once and the digit 4 twice. If the numbers thus formed are arranged in increasing order and \(x, y\) represent the ranks of 4324 and 324 respectively then \(\mathbf{x}-\mathbf{y}=\)

1 17
2 31
3 14
4 16
Permutation and Combination

119224 The remainder obtained when
\(1 !+2 !+\ldots+200\) ! is divided by 14 is

1 3
2 4
3 5
4 None of the above
Permutation and Combination

119225 In a certain school, \(74 \%\) students like cricket, \(76 \%\) students like foot-ball and \(82 \%\) like tennis. Then all the three sports are liked by at least

1 \(68 \%\)
2 \(32 \%\)
3 \(77 \%\)
4 \(36 \%\)
Permutation and Combination

119226 Consider the set \(\mathbf{A}=\{1,2,3 \ldots, 30\}\). The number of ways in which one can choose three distinct numbers from \(A\) so that the product of the chosen numbers is divisible by 9 is

1 1590
2 1505
3 1110
4 1025
Permutation and Combination

119227 The number of ways of choosing a committee from four men and six women so that the committee includes atleast two men and exactly twice as many women as men is

1 90
2 92
3 94
4 96
Permutation and Combination

119229 Numbers between 1 and 10,000 are formed using the digits 2 and 3 only once and the digit 4 twice. If the numbers thus formed are arranged in increasing order and \(x, y\) represent the ranks of 4324 and 324 respectively then \(\mathbf{x}-\mathbf{y}=\)

1 17
2 31
3 14
4 16