Advertisements
Advertisements
प्रश्न
Find x if `1/(6!) + 1/(7!) = x/(8!)`
Advertisements
उत्तर
Given that `1/(6!) + 1/(7!) = x/(8!)`
`1/(6!) + 1/(7*6!) = x/(8*7*6!)`
Cancelling all 6! we get
`1/1 + 1/7 = x/(8 xx 7)`
`(7 + 1)/7 = x/(8 xx 7)`
`8/7 = x/(8 xx 7)`
x = `8/7 xx 7 xx 8` = 64
APPEARS IN
संबंधित प्रश्न
Which of the following are true:
(2 +3)! = 2! + 3!
How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?
Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?
In how many ways can 7 letters be posted in 4 letter boxes?
Write the number of 5 digit numbers that can be formed using digits 0, 1 and 2 ?
The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is
Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?
Find the number of permutations of n different things taken r at a time such that two specific things occur together.
Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is ______.
There are 10 persons named P1, P2, P3, ... P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.
