Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 17-7-2020

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

195.1 K+

9.8 K+

Text Solution

Solution :

0,1,2,2,2,4,4 <br>
total numbers= `(7!)/(3!2!) - (6!)/(3!2!) ` <br>
`= (6!)/(3!2!)(7-1) = (6*5*4*3*2*1)/(3*2*1*2*1)*6` <br>
`= 30*12= 360` <br>
answer**What is factorial Zero Factorial examples**

**(a)Compute (i) `(20!)/(18!)` (ii) `(10!)/(6!.4!)` (b)find n if `(n+2)! =2550*n!`**

**fundamental principle of multiplication**

**fundamental principle of addition**

**Difference and application of fundamental principals**

**There are 3 condidates for a Classical; 5 for a Mathematical and 4 for a Natural science scholarship.(i)In how many ways can these scholarship be awarded ? (ii) In how many ways one of these scholarships be awarded?**

**What is permutation ?**

**Notation + theorem :- Let r and n be the positive integers such that `1lerlen`. Then no. of all permutations of n distinct things taken r at a time is given by `(n)(n-1)(n-2).....(n-(r-1))`**

**Prove that `P(n,r)=nP_r=(n!)/((n-r)!`**

**The no. of all permutation of n distinct things taken all at a time is `n!`**