Directions: In the following question, find out how many such pairs o...
Analysis:
In this question, we are given a word "PREDICTABLE" and we need to find out how many pairs of letters are there in the word, where the number of letters between them is equal to the number of letters in the English alphabet.
Approach:
To solve this question, we can follow the below approach:
1. Identify all the pairs of letters in the word.
2. For each pair of letters, calculate the number of letters between them in the word.
3. Check if the number of letters between the pair is equal to the number of letters in the English alphabet.
4. Count the pairs where this condition is satisfied.
Solution:
Let's follow the above approach to solve the question:
Identify Pairs of Letters:
The word "PREDICTABLE" contains the following pairs of letters:
PR, PE, PD, PI, PC, PT, PA, PL, PE
RE, RD, RI, RC, RT, RA, RL, RE
ED, EI, EC, ET, EA, EL, EE
DI, DC, DT, DA, DL, DE
IC, IT, IA, IL, IE
CT, CA, CL, CE
TA, TL, TE
AL, AE
LE
Calculate Number of Letters Between Pairs:
For each pair of letters, let's calculate the number of letters between them in the word "PREDICTABLE":
PR - 7 letters between them
PE - 4 letters between them
PD - 3 letters between them
PI - 5 letters between them
PC - 3 letters between them
PT - 1 letter between them
PA - 3 letters between them
PL - 1 letter between them
PE - 4 letters between them
RE - 1 letter between them
RD - 1 letter between them
RI - 2 letters between them
RC - 2 letters between them
RT - 6 letters between them
RA - 2 letters between them
RL - 7 letters between them
RE - 4 letters between them
ED - 2 letters between them
EI - 3 letters between them
EC - 3 letters between them
ET - 5 letters between them
EA - 3 letters between them
EL - 6 letters between them
EE - 2 letters between them
DI - 1 letter between them
DC - 2 letters between them
DT - 4 letters between them
DA - 2 letters between them
DL - 5 letters between them
DE - 3 letters between them
IC - 1 letter between them
IT - 4 letters between them
IA - 2 letters between them
IL - 5 letters between them
IE - 3 letters between them
CT - 3 letters between them
CA - 4 letters between them
CL - 1 letter between them
CE - 2 letters between them
TA - 1 letter between them
TL - 2 letters between them
TE - 1 letter between them
AL - 2 letters between them
AE - 1 letter between them
LE - 1 letter between them
Count Pairs with Equal Number of Letters:
From the above calculations, we can see that there are more than three pairs of letters