Division and Distribution of Distinct Object
Permutation and Combination

119219 The exponent of 12 in 100 is

1 48
2 49
3 96
4 None of these
Permutation and Combination

119221 A natural number has prime factorisation given by \(n=2^x 3^y 5^z\) where \(y\) and \(z\) are such that \(y+z=5\) and \(y^{-1}+z^{-1}=\frac{5}{6}, y>z\). Then, the number of odd divisors of \(n\), including 1 , is

1 11
2 6
3 \(6 \mathrm{x}\)
4 12
Permutation and Combination

119222 The number of 6 digit numbers that can be formed using the digits \(0,1,2,5,7\) and 9 which are divisible by 11 and no digit is repeated, is

1 60
2 72
3 48
4 36
Permutation and Combination

119223 If the number of five digit numbers with distinct digits and 2 at the \(10^{\text {th }}\) place is \(336 \mathrm{k}\), then \(k\) is equal to

1 8
2 7
3 4
4 6
Permutation and Combination

119219 The exponent of 12 in 100 is

1 48
2 49
3 96
4 None of these
Permutation and Combination

119221 A natural number has prime factorisation given by \(n=2^x 3^y 5^z\) where \(y\) and \(z\) are such that \(y+z=5\) and \(y^{-1}+z^{-1}=\frac{5}{6}, y>z\). Then, the number of odd divisors of \(n\), including 1 , is

1 11
2 6
3 \(6 \mathrm{x}\)
4 12
Permutation and Combination

119222 The number of 6 digit numbers that can be formed using the digits \(0,1,2,5,7\) and 9 which are divisible by 11 and no digit is repeated, is

1 60
2 72
3 48
4 36
Permutation and Combination

119223 If the number of five digit numbers with distinct digits and 2 at the \(10^{\text {th }}\) place is \(336 \mathrm{k}\), then \(k\) is equal to

1 8
2 7
3 4
4 6
Permutation and Combination

119219 The exponent of 12 in 100 is

1 48
2 49
3 96
4 None of these
Permutation and Combination

119221 A natural number has prime factorisation given by \(n=2^x 3^y 5^z\) where \(y\) and \(z\) are such that \(y+z=5\) and \(y^{-1}+z^{-1}=\frac{5}{6}, y>z\). Then, the number of odd divisors of \(n\), including 1 , is

1 11
2 6
3 \(6 \mathrm{x}\)
4 12
Permutation and Combination

119222 The number of 6 digit numbers that can be formed using the digits \(0,1,2,5,7\) and 9 which are divisible by 11 and no digit is repeated, is

1 60
2 72
3 48
4 36
Permutation and Combination

119223 If the number of five digit numbers with distinct digits and 2 at the \(10^{\text {th }}\) place is \(336 \mathrm{k}\), then \(k\) is equal to

1 8
2 7
3 4
4 6
Permutation and Combination

119219 The exponent of 12 in 100 is

1 48
2 49
3 96
4 None of these
Permutation and Combination

119221 A natural number has prime factorisation given by \(n=2^x 3^y 5^z\) where \(y\) and \(z\) are such that \(y+z=5\) and \(y^{-1}+z^{-1}=\frac{5}{6}, y>z\). Then, the number of odd divisors of \(n\), including 1 , is

1 11
2 6
3 \(6 \mathrm{x}\)
4 12
Permutation and Combination

119222 The number of 6 digit numbers that can be formed using the digits \(0,1,2,5,7\) and 9 which are divisible by 11 and no digit is repeated, is

1 60
2 72
3 48
4 36
Permutation and Combination

119223 If the number of five digit numbers with distinct digits and 2 at the \(10^{\text {th }}\) place is \(336 \mathrm{k}\), then \(k\) is equal to

1 8
2 7
3 4
4 6
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