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If P (n − 1, 3) : P (n, 4) = 1 : 9, find n.
Concept: undefined >> undefined
If P (2n − 1, n) : P (2n + 1, n − 1) = 22 : 7 find n.
Concept: undefined >> undefined
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If P (n, 5) : P (n, 3) = 2 : 1, find n.
Concept: undefined >> undefined
Prove that:1 . P (1, 1) + 2 . P (2, 2) + 3 . P (3, 3) + ... + n . P (n, n) = P (n + 1, n + 1) − 1.
Concept: undefined >> undefined
If P (15, r − 1) : P (16, r − 2) = 3 : 4, find r.
Concept: undefined >> undefined
If n +5Pn +1 =\[\frac{11 (n - 1)}{2}\]n +3Pn, find n.
Concept: undefined >> undefined
In how many ways can five children stand in a queue?
Concept: undefined >> undefined
From among the 36 teachers in a school, one principal and one vice-principal are to be appointed. In how many ways can this be done?
Concept: undefined >> undefined
Four letters E, K, S and V, one in each, were purchased from a plastic warehouse. How many ordered pairs of letters, to be used as initials, can be formed from them?
Concept: undefined >> undefined
Four books, one each in Chemistry, Physics, Biology and Mathematics, are to be arranged in a shelf. In how many ways can this be done?
Concept: undefined >> undefined
Find the number of different 4-letter words, with or without meanings, that can be formed from the letters of the word 'NUMBER'.
Concept: undefined >> undefined
How many three-digit numbers are there, with distinct digits, with each digit odd?
Concept: undefined >> undefined
How many words, with or without meaning, can be formed by using all the letters of the word 'DELHI', using each letter exactly once?
Concept: undefined >> undefined
How many words, with or without meaning, can be formed by using the letters of the word 'TRIANGLE'?
Concept: undefined >> undefined
There are two works each of 3 volumes and two works each of 2 volumes; In how many ways can the 10 books be placed on a shelf so that the volumes of the same work are not separated?
Concept: undefined >> undefined
There are 6 items in column A and 6 items in column B. A student is asked to match each item in column A with an item in column B. How many possible, correct or incorrect, answers are there to this question?
Concept: undefined >> undefined
How many three-digit numbers are there, with no digit repeated?
Concept: undefined >> undefined
How many 6-digit telephone numbers can be constructed with digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number starts with 35 and no digit appears more than once?
Concept: undefined >> undefined
In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls are to sit on chairs in a row and the boys are to stand in a row behind them?
Concept: undefined >> undefined
If a denotes the number of permutations of (x + 2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x − 11 things taken all at a time such that a = 182 bc, find the value of x.
Concept: undefined >> undefined
