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Twelve students complete in a race. In how many ways first three prizes be given?
Concept: undefined >> undefined
How many A.P.'s with 10 terms are there whose first term is in the set {1, 2, 3} and whose common difference is in the set {1, 2, 3, 4, 5}?
Concept: undefined >> undefined
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From among the 36 teachers in a college, one principal, one vice-principal and the teacher-incharge are to be appointed. In how many ways can this be done?
Concept: undefined >> undefined
How many three-digit numbers are there with no digit repeated?
Concept: undefined >> undefined
How many three-digit numbers are there?
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How many three-digit odd numbers are there?
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How many different five-digit number licence plates can be made if
first digit cannot be zero and the repetition of digits is not allowed,
Concept: undefined >> undefined
How many different five-digit number licence plates can be made if
the first-digit cannot be zero, but the repetition of digits is allowed?
Concept: undefined >> undefined
How many four-digit numbers can be formed with the digits 3, 5, 7, 8, 9 which are greater than 7000, if repetition of digits is not allowed?
Concept: undefined >> undefined
Since the number has to be greater than 8000, the thousand's place can be filled by only two digits, i.e. 8 and 9.
Now, the hundred's place can be filled with the remaining 4 digits as the repetition of the digits is not allowed.
The ten's place can be filled with the remaining 3 digits.
The unit's place can be filled with the remaining 2 digits.
Total numbers that can be formed = `2xx4xx3xx2=48`
Concept: undefined >> undefined
In how many ways can six persons be seated in a row?
Concept: undefined >> undefined
How many 9-digit numbers of different digits can be formed?
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How many odd numbers less than 1000 can be formed by using the digits 0, 3, 5, 7 when repetition of digits is not allowed?
Concept: undefined >> undefined
How many 3-digit numbers are there, with distinct digits, with each digit odd?
Concept: undefined >> undefined
Let A = {a, b, {c, d}, e}. Which of the following statement are false and why?
\[a \subset A\]
Concept: undefined >> undefined
Let A = {a, b, {c, d}, e}. Which of the following statement are false and why?
\[\left\{ a, b, e \right\} \subset A\]
Concept: undefined >> undefined
How many different numbers of six digits each can be formed from the digits 4, 5, 6, 7, 8, 9 when repetition of digits is not allowed?
Concept: undefined >> undefined
How many different numbers of six digits can be formed from the digits 3, 1, 7, 0, 9, 5 when repetition of digits is not allowed?
Concept: undefined >> undefined
How many four digit different numbers, greater than 5000 can be formed with the digits 1, 2, 5, 9, 0 when repetition of digits is not allowed?
Concept: undefined >> undefined
Serial numbers for an item produced in a factory are to be made using two letters followed by four digits (0 to 9). If the letters are to be taken from six letters of English alphabet without repetition and the digits are also not repeated in a serial number, how many serial numbers are possible?
Concept: undefined >> undefined
