Advertisements
Advertisements
Question
For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:
Options
2n
2n – 1
n2
n2 – 1
Advertisements
Solution
2n – 1
APPEARS IN
RELATED QUESTIONS
How many 4-digit numbers are there with no digit repeated?
How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?
Find the number of ways in which one can post 5 letters in 7 letter boxes ?
Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?
Evaluate each of the following:
6P6
Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.
The number of words with or without meaning that can be formed using letters of the word “EQUATION”, with no repetition of letters is:
A coin is tossed 8 times, how many different sequences of heads and tails are possible?
If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
DANGER
The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.
