SUB:- MATHS
CHAPTER :- PERMUTATION AND COMBINATION
Q:- find total permutation of word (PHONE) if N and E never occurs together.
{pls ans and I will make u( brainlost )}
Answers
Answer:
The different ways in which the alphabets A, B and C can be grouped together, taken all at a time, are ABC, ACB, BCA, CBA, CAB, BAC.
Note that ABC and CBA are not same as the order of arrangement is different. The same rule applies while solving any problem in Permutations.
The number of ways in which n things can be arranged, taken all at a time, nPn = n!, called ‘n factorial.’
Factorial Formula
Factorial of a number n is defined as the product of all the numbers from n to 1.
For example, the factorial of 5, 5! = 5*4*3*2*1 = 120.
Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 = 6 ways.
Number of permutations of n things, taken r at a time, denoted by:
nPr = n! / (n-r)!
Answer:
Step-by-step explanation:
n and e never occurs together
=total - n and e occurs together
=120-48
=72