119216 Six persons A, B, C, D, E and \(F\) are to be seated at a circular table facing towards the centre. Then the number of ways that can be done if \(A\) must have either \(\mathbf{E}\) or \(\mathbf{F}\) on his immediate right and \(E\) must have either \(F\) or \(D\) on his immediate right, is

119217 How many four-digit numbers abcd exist such that \(a\) is odd, \(b\) is divisible by \(3, c\) is even and \(d\) is prime?

119218 The remainder obtained when \((1 !)^2+(2 !)^2+\) \((3 !)^2+\ldots+(100 !)^2\) is divided by \(10^2\) is

119228 The English alphabets have 5 vowels and 21 consonants. How many words with two different vowels and two different consonants can be formed from the alphabet?

119216 Six persons A, B, C, D, E and \(F\) are to be seated at a circular table facing towards the centre. Then the number of ways that can be done if \(A\) must have either \(\mathbf{E}\) or \(\mathbf{F}\) on his immediate right and \(E\) must have either \(F\) or \(D\) on his immediate right, is

119217 How many four-digit numbers abcd exist such that \(a\) is odd, \(b\) is divisible by \(3, c\) is even and \(d\) is prime?

119218 The remainder obtained when \((1 !)^2+(2 !)^2+\) \((3 !)^2+\ldots+(100 !)^2\) is divided by \(10^2\) is

119228 The English alphabets have 5 vowels and 21 consonants. How many words with two different vowels and two different consonants can be formed from the alphabet?

119216 Six persons A, B, C, D, E and \(F\) are to be seated at a circular table facing towards the centre. Then the number of ways that can be done if \(A\) must have either \(\mathbf{E}\) or \(\mathbf{F}\) on his immediate right and \(E\) must have either \(F\) or \(D\) on his immediate right, is

119217 How many four-digit numbers abcd exist such that \(a\) is odd, \(b\) is divisible by \(3, c\) is even and \(d\) is prime?

119218 The remainder obtained when \((1 !)^2+(2 !)^2+\) \((3 !)^2+\ldots+(100 !)^2\) is divided by \(10^2\) is

119228 The English alphabets have 5 vowels and 21 consonants. How many words with two different vowels and two different consonants can be formed from the alphabet?

119216 Six persons A, B, C, D, E and \(F\) are to be seated at a circular table facing towards the centre. Then the number of ways that can be done if \(A\) must have either \(\mathbf{E}\) or \(\mathbf{F}\) on his immediate right and \(E\) must have either \(F\) or \(D\) on his immediate right, is

119217 How many four-digit numbers abcd exist such that \(a\) is odd, \(b\) is divisible by \(3, c\) is even and \(d\) is prime?

119218 The remainder obtained when \((1 !)^2+(2 !)^2+\) \((3 !)^2+\ldots+(100 !)^2\) is divided by \(10^2\) is

119228 The English alphabets have 5 vowels and 21 consonants. How many words with two different vowels and two different consonants can be formed from the alphabet?