Permutations and Combinations
How many 4 digit number not exceeding 4321 can be formed with the digits 1,2,3,4 if the repetition of digits in a number is not allowed?
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Find the number of permutations of the letters of the word ALLAHABAD.
Find n if n−1P3:nP4=1:9.
The number of three-digit numbers having only two consecutive digit identical N,
then the value of (N/2)1/2
The value of expression .47C4+j=1∑5.52−jC3 is equal to a..47C5 b. .52C5 c. .52C4 d. none of these
In how many ways can 2t+1
identical balls be placed in three distinct boxes so that any two boxes together will contain more balls than the third?
Statement 1: number of ways in which 10 identical toys can be distributed among three students if each receives at least two toys is 6C2˙
Statement 2: Number of positive integral solutions of x+y+z+w=7is6C3˙
In how many of the distinct permutations of the letters in MISSISSIPPI do the four Is not come together?
Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.