There are 15 different apples and 10 different pears. How many ways are apple or a pear and then Jill to pick an apple and a pear?
A. `23xx150`
B. `33xx150`
C. `43xx150`
D. `53xx150`
Correct Answer - A
`(a)` If jack picks an apple in `.^(15)C_(1)` ways, then Jill in `.^(14)C_(1)^(10)C_(1)`.
If jack picks a pear in `.^(10)C_(1)` way, then Jill in `.^(15)C_(1)^(9)C_(1)`.
`:.` Total no. of ways `=.^(15)C_(1)^(14)C_(1)^(10)C_(1)+^(10)C_(1)^(15)C_(1)^(9)C_(1)`
`=23xx150`
Correct Answer - C
As second row of all the options is same, we have to look at the elements of the first row. Let the left inverse be `[(a,b,c),(d,e,f)]`. Then...
Correct Answer - C
`(c )` `B_(1)B_(2)B_(3)…B_(7)B_(8)B_(9)B_(10)`
`(i)` When two terminal books are taken (`B_(1)B_(2)` or `B_(9)B_(10)`) then number of ways `=2xx7=14`
`(ii)` When two consecutive terminal books are not taken...
Correct Answer - A
`(a)` Selecting any two pairs, number of ways `=.^(12)C_(2)`
Now we have to select remaining three shoes from `10` pairs such that no pair is selected.
Three...
(i) True
Different people deal with stress in different ways depending upon their genetic predisposition and environmental conditions.
(ii) False
Dopamine and oxytocin hormones are associated with positive feelings.
(iii) True
Depression is an example of chronic distress...
